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5157704832 = 27374344623
BaseRepresentation
bin1001100110110110…
…00101010010000000
3111022110010112220220
410303123011102000
541030333023312
62211443303040
7241545524220
oct46333052200
914273115826
105157704832
112207431a85
12bbb37aa80
13642727767
1436cdd4080
15202c08c8c
hex1336c5480

5157704832 has 128 divisors (see below), whose sum is σ = 16021800960. Its totient is φ = 1439327232.

The previous prime is 5157704813. The next prime is 5157704833. The reversal of 5157704832 is 2384077515.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×51577048322 = 53203838268072296448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5157704833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93273 + ... + 137895.

It is an arithmetic number, because the mean of its divisors is an integer number (125170320).

Almost surely, 25157704832 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 5157704832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8010900480).

5157704832 is an abundant number, since it is smaller than the sum of its proper divisors (10864096128).

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

5157704832 is a wasteful number, since it uses less digits than its factorization.

5157704832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44690 (or 44678 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 5157704832 is about 71817.1625170474. The cubic root of 5157704832 is about 1727.7682731103.

The spelling of 5157704832 in words is "five billion, one hundred fifty-seven million, seven hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 258 301 336 344 384 448 516 602 672 688 896 903 1032 1204 1344 1376 1806 2064 2408 2688 2752 3612 4128 4816 5504 7224 8256 9632 14448 16512 19264 28896 38528 44623 57792 89246 115584 133869 178492 267738 312361 356984 535476 624722 713968 937083 1070952 1249444 1427936 1874166 1918789 2141904 2498888 2855872 3748332 3837578 4283808 4997776 5711744 5756367 7496664 7675156 8567616 9995552 11512734 13431523 14993328 15350312 17135232 19991104 23025468 26863046 29986656 30700624 39982208 40294569 46050936 53726092 59973312 61401248 80589138 92101872 107452184 119946624 122802496 161178276 184203744 214904368 245604992 322356552 368407488 429808736 644713104 736814976 859617472 1289426208 1719234944 2578852416 5157704832