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75427293996 = 223231443152567
BaseRepresentation
bin100011000111111010…
…0010010101100101100
321012200122202112121100
41012033310102230230
52213433341401441
654352324403100
75310105264135
oct1061764225454
9235618675540
1075427293996
1129a9681740a
1212750546490
137160982c12
143917744c8c
151e66d1ccb6
hex118fd12b2c

75427293996 has 72 divisors (see below), whose sum is σ = 197259439104. Its totient is φ = 24276301920.

The previous prime is 75427293979. The next prime is 75427294009. The reversal of 75427293996 is 69939272457.

75427293996 is a `hidden beast` number, since 75 + 427 + 29 + 39 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418105 + ... + 570671.

It is an arithmetic number, because the mean of its divisors is an integer number (2739714432).

Almost surely, 275427293996 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 75427293996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98629719552).

75427293996 is an abundant number, since it is smaller than the sum of its proper divisors (121832145108).

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

75427293996 is a wasteful number, since it uses less digits than its factorization.

75427293996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153051 (or 153046 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The spelling of 75427293996 in words is "seventy-five billion, four hundred twenty-seven million, two hundred ninety-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 443 558 886 1116 1329 1772 2658 3987 5316 7974 13733 15948 27466 41199 54932 82398 123597 152567 164796 247194 305134 457701 494388 610268 915402 1373103 1830804 2746206 4729577 5492412 9459154 14188731 18918308 28377462 42566193 56754924 67587181 85132386 135174362 170264772 202761543 270348724 405523086 608284629 811046172 1216569258 2095202611 2433138516 4190405222 6285607833 8380810444 12571215666 18856823499 25142431332 37713646998 75427293996