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45051728016 = 2431764785333
BaseRepresentation
bin101001111101010010…
…101101000010010000
311022021201202220120010
4221331102231002100
51214231220244031
632410234514520
73153265240551
oct517522550220
9138251686503
1045051728016
1118119587079
128893895a40
13432c852c39
142275496328
15128a25a246
hexa7d4ad090

45051728016 has 80 divisors (see below), whose sum is σ = 123421636224. Its totient is φ = 14111864832.

The previous prime is 45051728011. The next prime is 45051728021. The reversal of 45051728016 is 61082715054.

It is an interprime number because it is at equal distance from previous prime (45051728011) and next prime (45051728021).

It is not an unprimeable number, because it can be changed into a prime (45051728011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485286 + ... + 570618.

Almost surely, 245051728016 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 45051728016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61710818112).

45051728016 is an abundant number, since it is smaller than the sum of its proper divisors (78369908208).

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

45051728016 is a wasteful number, since it uses less digits than its factorization.

45051728016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86008 (or 86002 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 45051728016 in words is "forty-five billion, fifty-one million, seven hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 647 816 1294 1941 2588 3882 5176 7764 10352 10999 15528 21998 31056 32997 43996 65994 85333 87992 131988 170666 175984 255999 263976 341332 511998 527952 682664 1023996 1365328 1450661 2047992 2901322 4095984 4351983 5802644 8703966 11605288 17407932 23210576 34815864 55210451 69631728 110420902 165631353 220841804 331262706 441683608 662525412 883367216 938577667 1325050824 1877155334 2650101648 2815733001 3754310668 5631466002 7508621336 11262932004 15017242672 22525864008 45051728016