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5120043192 = 23321110516151
BaseRepresentation
bin1001100010010110…
…11010100010111000
3111012211021010212100
410301023122202320
540441212340232
62204020143400
7240610435425
oct46113324270
914184233770
105120043192
112198149260
12baa837b60
1363799c374
14367dccd4c
151ee769c7c
hex1312da8b8

5120043192 has 96 divisors (see below), whose sum is σ = 15144255360. Its totient is φ = 1549800000.

The previous prime is 5120043191. The next prime is 5120043233. The reversal of 5120043192 is 2913400215.

It is a super-3 number, since 3×51200431923 (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5120043191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829317 + ... + 835467.

It is an arithmetic number, because the mean of its divisors is an integer number (157752660).

Almost surely, 25120043192 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 5120043192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7572127680).

5120043192 is an abundant number, since it is smaller than the sum of its proper divisors (10024212168).

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

5120043192 is a wasteful number, since it uses less digits than its factorization.

5120043192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7225 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5120043192 is about 71554.4770926320. The cubic root of 5120043192 is about 1723.5525985923.

The spelling of 5120043192 in words is "five billion, one hundred twenty million, forty-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1051 2102 3153 4204 6151 6306 8408 9459 11561 12302 12612 18453 18918 23122 24604 25224 34683 36906 37836 46244 49208 55359 67661 69366 73812 75672 92488 104049 110718 135322 138732 147624 202983 208098 221436 270644 277464 405966 416196 442872 541288 608949 811932 832392 1217898 1623864 2435796 4871592 6464701 12929402 19394103 25858804 38788206 51717608 58182309 71111711 77576412 116364618 142223422 155152824 213335133 232729236 284446844 426670266 465458472 568893688 640005399 853340532 1280010798 1706681064 2560021596 5120043192