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56446025216 = 297149105701
BaseRepresentation
bin110100100100011100…
…011111111000000000
312101200211011011212112
4310210130133320000
51411100140301331
641533030114452
74035533204120
oct644434377000
9171624134775
1056446025216
1121a36345219
12ab337aba28
135427373229
142a36884c80
15170573332b
hexd2471fe00

56446025216 has 80 divisors (see below), whose sum is σ = 129759775200. Its totient is φ = 24028569600.

The previous prime is 56446025203. The next prime is 56446025221. The reversal of 56446025216 is 61252064465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481166 + ... + 586866.

It is an arithmetic number, because the mean of its divisors is an integer number (1621997190).

Almost surely, 256446025216 is an apocalyptic number.

56446025216 is a gapful number since it is divisible by the number (56) 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 56446025216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64879887600).

56446025216 is an abundant number, since it is smaller than the sum of its proper divisors (73313749984).

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

56446025216 is a wasteful number, since it uses less digits than its factorization.

56446025216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105875 (or 105859 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 56446025216 in words is "fifty-six billion, four hundred forty-six million, twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 224 256 298 448 512 596 896 1043 1192 1792 2086 2384 3584 4172 4768 8344 9536 16688 19072 33376 38144 66752 76288 105701 133504 211402 267008 422804 534016 739907 845608 1479814 1691216 2959628 3382432 5919256 6764864 11838512 13529728 15749449 23677024 27059456 31498898 47354048 54118912 62997796 94708096 110246143 125995592 189416192 220492286 251991184 378832384 440984572 503982368 881969144 1007964736 1763938288 2015929472 3527876576 4031858944 7055753152 8063717888 14111506304 28223012608 56446025216