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5812690032 = 243347353811
BaseRepresentation
bin1010110100111011…
…01001110001110000
3120000002121020201000
411122131221301300
543401022040112
62400442042000
7264021023112
oct53235516160
916002536630
105812690032
112513126066
1211627a9300
13718335876
143d1db13b2
152404887dc
hex15a769c70

5812690032 has 160 divisors (see below), whose sum is σ = 17108904960. Its totient is φ = 1888634880.

The previous prime is 5812690001. The next prime is 5812690033. The reversal of 5812690032 is 2300962185.

It is a super-2 number, since 2×58126900322 = 67574730816224322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5812690033) 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, 7166907 + ... + 7167717.

It is an arithmetic number, because the mean of its divisors is an integer number (106930656).

Almost surely, 25812690032 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 5812690032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8554452480).

5812690032 is an abundant number, since it is smaller than the sum of its proper divisors (11296214928).

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

5812690032 is a wasteful number, since it uses less digits than its factorization.

5812690032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5812690032 is about 76240.9996786506. Note that the first 3 decimals coincide. The cubic root of 5812690032 is about 1798.0111811424.

The spelling of 5812690032 in words is "five billion, eight hundred twelve million, six hundred ninety thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 353 376 423 432 564 706 752 811 846 1059 1128 1269 1412 1622 1692 2118 2256 2433 2538 2824 3177 3244 3384 4236 4866 5076 5648 6354 6488 6768 7299 8472 9531 9732 10152 12708 12976 14598 16591 16944 19062 19464 20304 21897 25416 29196 33182 38117 38124 38928 43794 49773 50832 58392 66364 76234 76248 87588 99546 114351 116784 132728 149319 152468 152496 175176 199092 228702 265456 286283 298638 304936 343053 350352 398184 447957 457404 572566 597276 609872 686106 796368 858849 895914 914808 1029159 1145132 1194552 1372212 1717698 1791828 1829616 2058318 2290264 2389104 2576547 2744424 3435396 3583656 4116636 4580528 5153094 5488848 6870792 7167312 7729641 8233272 10306188 13455301 13741584 15459282 16466544 20612376 26910602 30918564 40365903 41224752 53821204 61837128 80731806 107642408 121097709 123674256 161463612 215284816 242195418 322927224 363293127 484390836 645854448 726586254 968781672 1453172508 1937563344 2906345016 5812690032