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5015815728 = 2437111779829
BaseRepresentation
bin1001010101111011…
…10100011000110000
3110221120010211122220
410222331310120300
540233022100403
62145414201040
7235203505320
oct45275643060
913846124586
105015815728
11214432a660
12b7b953180
1361c208601
1435821b280
151e552c953
hex12af74630

5015815728 has 160 divisors (see below), whose sum is σ = 17105333760. Its totient is φ = 1226158080.

The previous prime is 5015815723. The next prime is 5015815733. The reversal of 5015815728 is 8275185105.

It is an interprime number because it is at equal distance from previous prime (5015815723) and next prime (5015815733).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5015815728.

It is not an unprimeable number, because it can be changed into a prime (5015815723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22918 + ... + 102746.

It is an arithmetic number, because the mean of its divisors is an integer number (106908336).

Almost surely, 25015815728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5015815728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8552666880).

5015815728 is an abundant number, since it is smaller than the sum of its proper divisors (12089518032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5015815728 is a wasteful number, since it uses less digits than its factorization.

5015815728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79875 (or 79869 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 42.

The square root of 5015815728 is about 70822.4239065566. The cubic root of 5015815728 is about 1711.7770166246. Note that the first 3 decimals are identical.

The spelling of 5015815728 in words is "five billion, fifteen million, eight hundred fifteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 33 34 42 44 48 51 56 66 68 77 84 88 102 112 119 132 136 154 168 176 187 204 231 238 264 272 308 336 357 374 408 462 476 528 561 616 714 748 816 924 952 1122 1232 1309 1428 1496 1848 1904 2244 2618 2856 2992 3696 3927 4488 5236 5712 7854 8976 10472 15708 20944 31416 62832 79829 159658 239487 319316 478974 558803 638632 878119 957948 1117606 1277264 1357093 1676409 1756238 1915896 2235212 2634357 2714186 3352818 3512476 3831792 4071279 4470424 5268714 5428372 6146833 6705636 7024952 8142558 8940848 9499651 10537428 10856744 12293666 13411272 14049904 14928023 16285116 18440499 18999302 21074856 21713488 24587332 26822544 28498953 29856046 32570232 36880998 37998604 42149712 44784069 49174664 56997906 59712092 65140464 73761996 75997208 89568138 98349328 104496161 113995812 119424184 147523992 151994416 179136276 208992322 227991624 238848368 295047984 313488483 358272552 417984644 455983248 626976966 716545104 835969288 1253953932 1671938576 2507907864 5015815728