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56206207872 = 2732421115891
BaseRepresentation
bin110100010110001001…
…101010101110000000
312101002002220012022200
4310112021222232000
51410102242122442
641453142033200
74026561612153
oct642611525600
9171062805280
1056206207872
1121922a36971
12aa87418800
1353b9787589
142a12a99c9a
1516de66134c
hexd1626ab80

56206207872 has 96 divisors (see below), whose sum is σ = 162124795560. Its totient is φ = 18690739200.

The previous prime is 56206207853. The next prime is 56206207903. The reversal of 56206207872 is 27870260265.

56206207872 is a `hidden beast` number, since 562 + 0 + 6 + 2 + 0 + 7 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427047 + ... + 542937.

Almost surely, 256206207872 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 56206207872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81062397780).

56206207872 is an abundant number, since it is smaller than the sum of its proper divisors (105918587688).

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

56206207872 is a wasteful number, since it uses less digits than its factorization.

56206207872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116332 (or 116317 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 56206207872 in words is "fifty-six billion, two hundred six million, two hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 421 576 842 1152 1263 1684 2526 3368 3789 5052 6736 7578 10104 13472 15156 20208 26944 30312 40416 53888 60624 80832 115891 121248 161664 231782 242496 347673 463564 484992 695346 927128 1043019 1390692 1854256 2086038 2781384 3708512 4172076 5562768 7417024 8344152 11125536 14834048 16688304 22251072 33376608 44502144 48790111 66753216 97580222 133506432 146370333 195160444 292740666 390320888 439110999 585481332 780641776 878221998 1170962664 1561283552 1756443996 2341925328 3122567104 3512887992 4683850656 6245134208 7025775984 9367701312 14051551968 18735402624 28103103936 56206207872