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16252744968 = 23328910923269
BaseRepresentation
bin11110010001011110…
…10011010100001000
31112221200101222201100
433020233103110020
5231241200314333
611244424421400
71113521024055
oct171057232410
945850358640
1016252744968
116990283939
123197017860
1316c024a175
14b0276402c
15651cbd213
hex3c8bd3508

16252744968 has 96 divisors (see below), whose sum is σ = 44922735000. Its totient is φ = 5307337728.

The previous prime is 16252744939. The next prime is 16252744979. The reversal of 16252744968 is 86944725261.

16252744968 is a `hidden beast` number, since 1 + 625 + 2 + 7 + 4 + 4 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12450542724 + 3802202244 = 111582^2 + 61662^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 686838 + ... + 710106.

Almost surely, 216252744968 is an apocalyptic number.

16252744968 is a gapful number since it is divisible by the number (18) 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 16252744968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22461367500).

16252744968 is an abundant number, since it is smaller than the sum of its proper divisors (28669990032).

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

16252744968 is a wasteful number, since it uses less digits than its factorization.

16252744968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23479 (or 23472 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 16252744968 in words is "sixteen billion, two hundred fifty-two million, seven hundred forty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 109 178 218 267 327 356 436 534 654 712 801 872 981 1068 1308 1602 1962 2136 2616 3204 3924 6408 7848 9701 19402 23269 29103 38804 46538 58206 69807 77608 87309 93076 116412 139614 174618 186152 209421 232824 279228 349236 418842 558456 698472 837684 1675368 2070941 2536321 4141882 5072642 6212823 7608963 8283764 10145284 12425646 15217926 16567528 18638469 20290568 22826889 24851292 30435852 37276938 45653778 49702584 60871704 74553876 91307556 149107752 182615112 225732569 451465138 677197707 902930276 1354395414 1805860552 2031593121 2708790828 4063186242 5417581656 8126372484 16252744968