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5073191328 = 253232979229
BaseRepresentation
bin1001011100110001…
…01100000110100000
3111002120002211012010
410232120230012200
540342214110303
62155224032520
7236501262162
oct45630540640
914076084163
105073191328
112173758807
12b97002740
1362b076b7a
14361ab4932
151ea5b2c03
hex12e62c1a0

5073191328 has 96 divisors (see below), whose sum is σ = 14375491200. Its totient is φ = 1561742336.

The previous prime is 5073191309. The next prime is 5073191339. The reversal of 5073191328 is 8231913705.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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, 24418 + ... + 103646.

It is an arithmetic number, because the mean of its divisors is an integer number (149744700).

Almost surely, 25073191328 is an apocalyptic number.

5073191328 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5073191328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7187745600).

5073191328 is an abundant number, since it is smaller than the sum of its proper divisors (9302299872).

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

5073191328 is a wasteful number, since it uses less digits than its factorization.

5073191328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79294 (or 79286 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 5073191328 is about 71226.3387238176. The cubic root of 5073191328 is about 1718.2792561909.

The spelling of 5073191328 in words is "five billion, seventy-three million, one hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 87 92 96 116 138 174 184 232 276 348 368 464 552 667 696 736 928 1104 1334 1392 2001 2208 2668 2784 4002 5336 8004 10672 16008 21344 32016 64032 79229 158458 237687 316916 475374 633832 950748 1267664 1822267 1901496 2297641 2535328 3644534 3802992 4595282 5466801 6892923 7289068 7605984 9190564 10933602 13785846 14578136 18381128 21867204 27571692 29156272 36762256 43734408 52845743 55143384 58312544 73524512 87468816 105691486 110286768 158537229 174937632 211382972 220573536 317074458 422765944 634148916 845531888 1268297832 1691063776 2536595664 5073191328