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56253878816 = 2519257521691
BaseRepresentation
bin110100011000111111…
…100001001000100000
312101012102121010120012
4310120333201020200
51410201443110231
641502003504052
74031011036412
oct643077411040
9171172533505
1056253878816
1121947936843
12aa9b388028
1353c6608835
142a191489b2
1516e392ae2b
hexd18fe1220

56253878816 has 96 divisors (see below), whose sum is σ = 117426697920. Its totient is φ = 26453606400.

The previous prime is 56253878803. The next prime is 56253878819. The reversal of 56253878816 is 61887835265.

It is not an unprimeable number, because it can be changed into a prime (56253878819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81409031 + ... + 81409721.

It is an arithmetic number, because the mean of its divisors is an integer number (1223194770).

Almost surely, 256253878816 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 56253878816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58713348960).

56253878816 is an abundant number, since it is smaller than the sum of its proper divisors (61172819104).

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

56253878816 is a wasteful number, since it uses less digits than its factorization.

56253878816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1490 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 59.

The spelling of 56253878816 in words is "fifty-six billion, two hundred fifty-three million, eight hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 76 152 257 304 514 521 608 691 1028 1042 1382 2056 2084 2764 4112 4168 4883 5528 8224 8336 9766 9899 11056 13129 16672 19532 19798 22112 26258 39064 39596 52516 78128 79192 105032 133897 156256 158384 177587 210064 267794 316768 355174 360011 420128 535588 710348 720022 1071176 1420696 1440044 2142352 2544043 2841392 2880088 3374153 4284704 5088086 5682784 5760176 6748306 6840209 10176172 11520352 13496612 13680418 20352344 26993224 27360836 40704688 53986448 54721672 81409376 92522827 107972896 109443344 185045654 218886688 370091308 740182616 1480365232 1757933713 2960730464 3515867426 7031734852 14063469704 28126939408 56253878816