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56007934273056 = 2538317099411083
BaseRepresentation
bin11001011110000010111010…
…00001101110011000100000
321100022022021020102122112010
430233001131001232120200
524320113222133214211
6315041404555232520
714540303552223603
oct1457013501563040
9240268236378463
1056007934273056
11169339168562a7
126346867a48740
1325336aa7c22ac
14db8b2707233a
15671d6545d4a6
hex32f05d06e620

56007934273056 has 96 divisors (see below), whose sum is σ = 148801226515200. Its totient is φ = 18443256414464.

The previous prime is 56007934273037. The next prime is 56007934273069. The reversal of 56007934273056 is 65037243970065.

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

It is a junction number, because it is equal to n+sod(n) for n = 56007934272987 and 56007934273005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136039291 + ... + 136450373.

It is an arithmetic number, because the mean of its divisors is an integer number (1550012776200).

Almost surely, 256007934273056 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 56007934273056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400613257600).

56007934273056 is an abundant number, since it is smaller than the sum of its proper divisors (92793292242144).

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

56007934273056 is a wasteful number, since it uses less digits than its factorization.

56007934273056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428278 (or 428270 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 57.

The spelling of 56007934273056 in words is "fifty-six trillion, seven billion, nine hundred thirty-four million, two hundred seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 17099 34198 51297 68396 102594 136792 205188 273584 410376 411083 547168 820752 822166 1233249 1419217 1641504 1644332 2466498 2838434 3288664 4257651 4932996 5676868 6577328 8515302 9865992 11353736 13154656 17030604 19731984 22707472 34061208 34119889 39463968 45414944 68122416 68239778 102359667 136244832 136479556 204719334 272959112 409438668 545918224 818877336 1091836448 1637754672 3275509344 7029108217 14058216434 21087324651 28116432868 42174649302 56232865736 84349298604 112465731472 168698597208 224931462944 337397194416 583415982011 674794388832 1166831964022 1750247946033 2333663928044 3500495892066 4667327856088 7000991784132 9334655712176 14001983568264 18669311424352 28003967136528 56007934273056