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425696259744 = 25327211158859
BaseRepresentation
bin1100011000111010111…
…10010110111010100000
31111200210111121121121200
412030131132112322200
523433311220302434
6523321232121200
742520102335120
oct6143536267240
91450714547550
10425696259744
1115459a4936a8
126a604996200
13311b21a4672
1416864bccc80
15b1177a0199
hex631d796ea0

425696259744 has 72 divisors (see below), whose sum is σ = 1383512850720. Its totient is φ = 121627502208.

The previous prime is 425696259743. The next prime is 425696259761. The reversal of 425696259744 is 447952696524.

425696259744 is a `hidden beast` number, since 4 + 2 + 569 + 6 + 25 + 9 + 7 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×4256962597444 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (425696259743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105577414 + ... + 105581445.

It is an arithmetic number, because the mean of its divisors is an integer number (19215456260).

Almost surely, 2425696259744 is an apocalyptic number.

It is an amenable number.

425696259744 is an abundant number, since it is smaller than the sum of its proper divisors (957816590976).

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

425696259744 is a wasteful number, since it uses less digits than its factorization.

425696259744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211158882 (or 211158871 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 425696259744 in words is "four hundred twenty-five billion, six hundred ninety-six million, two hundred fifty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 211158859 422317718 633476577 844635436 1266953154 1478112013 1689270872 1900429731 2533906308 2956224026 3378541744 3800859462 4434336039 5067812616 5912448052 6757083488 7601718924 8868672078 10135625232 11824896104 13303008117 15203437848 17737344156 20271250464 23649792208 26606016234 30406875696 35474688312 47299584416 53212032468 60813751392 70949376624 106424064936 141898753248 212848129872 425696259744