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56144006706752 = 2619831513683959
BaseRepresentation
bin11001100010000000010111…
…00100110111011001000000
321100210022111100201111011122
430301000023210313121000
524324330411204104002
6315224111155531412
714553161552640356
oct1461001344673100
9240708440644148
1056144006706752
11169865a3129778
1263691022b9b68
132543484774053
14dc1554c037d6
1567567b4666a2
hex33100b937640

56144006706752 has 112 divisors (see below), whose sum is σ = 119473475251200. Its totient is φ = 26100105638400.

The previous prime is 56144006706737. The next prime is 56144006706779. The reversal of 56144006706752 is 25760760044165.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 56144006706694 and 56144006706703.

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, 13398149 + ... + 17082107.

It is an arithmetic number, because the mean of its divisors is an integer number (1066727457600).

Almost surely, 256144006706752 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 56144006706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59736737625600).

56144006706752 is an abundant number, since it is smaller than the sum of its proper divisors (63329468544448).

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

56144006706752 is a wasteful number, since it uses less digits than its factorization.

56144006706752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684224 (or 3684214 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 53.

The spelling of 56144006706752 in words is "fifty-six trillion, one hundred forty-four billion, six million, seven hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 151 152 166 302 304 332 604 608 664 1208 1216 1328 1577 2416 2656 2869 3154 4832 5312 5738 6308 9664 11476 12533 12616 22952 25066 25232 45904 50132 50464 91808 100264 100928 183616 200528 238127 401056 476254 802112 952508 1905016 3683959 3810032 7367918 7620064 14735836 15240128 29471672 58943344 69995221 117886688 139990442 235773376 279980884 305768597 556277809 559961768 611537194 1112555618 1119923536 1223074388 2225111236 2239847072 2446148776 4450222472 4479694144 4892297552 5809603343 8900444944 9784595104 10569278371 11619206686 17800889888 19569190208 21138556742 23238413372 35601779776 42277113484 46171058147 46476826744 84554226968 92342116294 92953653488 169108453936 184684232588 185907306976 338216907872 369368465176 371814613952 676433815744 738736930352 877250104793 1477473860704 1754500209586 2954947721408 3509000419172 7018000838344 14036001676688 28072003353376 56144006706752