Search a number
-
+
20740500816 = 2437831096823
BaseRepresentation
bin10011010100001110…
…101110110101010000
31222112102220121101220
4103110032232311100
5314434032011231
613310020525040
71332653230260
oct232416566520
958472817356
1020740500816
118883521272
124029b50780
131c56c277b9
14100a7a37a0
15815c8d896
hex4d43aed50

20740500816 has 160 divisors (see below), whose sum is σ = 62549329920. Its totient is φ = 5799900672.

The previous prime is 20740500811. The next prime is 20740500817. The reversal of 20740500816 is 61800504702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20740500811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3036381 + ... + 3043203.

It is an arithmetic number, because the mean of its divisors is an integer number (390933312).

Almost surely, 220740500816 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 20740500816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31274664960).

20740500816 is an abundant number, since it is smaller than the sum of its proper divisors (41808829104).

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

20740500816 is a wasteful number, since it uses less digits than its factorization.

20740500816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 20740500816 in words is "twenty billion, seven hundred forty million, five hundred thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 109 112 166 168 218 249 327 332 336 436 498 581 654 664 763 872 996 1162 1308 1328 1526 1743 1744 1992 2289 2324 2616 3052 3486 3984 4578 4648 5232 6104 6823 6972 9047 9156 9296 12208 13646 13944 18094 18312 20469 27141 27292 27888 36188 36624 40938 47761 54282 54584 63329 72376 81876 95522 108564 109168 126658 143283 144752 163752 189987 191044 217128 253316 286566 327504 379974 382088 434256 506632 566309 573132 743707 759948 764176 1013264 1132618 1146264 1487414 1519896 1698927 2231121 2265236 2292528 2974828 3039792 3397854 3964163 4462242 4530472 5205949 5949656 6795708 7928326 8924484 9060944 10411898 11892489 11899312 13591416 15617847 15856652 17848968 20823796 23784978 27182832 31235694 31713304 35697936 41647592 47569956 61727681 62471388 63426608 83295184 95139912 123455362 124942776 185183043 190279824 246910724 249885552 370366086 432093767 493821448 740732172 864187534 987642896 1296281301 1481464344 1728375068 2592562602 2962928688 3456750136 5185125204 6913500272 10370250408 20740500816