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56217363072 = 2731373154267
BaseRepresentation
bin110100010110110100…
…001110001010000000
312101002212212221101020
4310112310032022000
51410113121104242
641454221105440
74030055462463
oct642664161200
9171085787336
1056217363072
1121929265a42
12aa8b0b8280
1353bbb91ba0
142a143612da
1516e06166ec
hexd16d0e280

56217363072 has 128 divisors (see below), whose sum is σ = 163018080960. Its totient is φ = 17060585472.

The previous prime is 56217363061. The next prime is 56217363149. The reversal of 56217363072 is 27036371265.

It is a tau number, because it is divible by the number of its divisors (128).

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, 287283 + ... + 441549.

Almost surely, 256217363072 is an apocalyptic number.

56217363072 is a gapful number since it is divisible by the number (52) 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 56217363072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81509040480).

56217363072 is an abundant number, since it is smaller than the sum of its proper divisors (106800717888).

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

56217363072 is a wasteful number, since it uses less digits than its factorization.

56217363072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154370 (or 154358 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 56217363072 in words is "fifty-six billion, two hundred seventeen million, three hundred sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 73 78 96 104 128 146 156 192 208 219 292 312 384 416 438 584 624 832 876 949 1168 1248 1664 1752 1898 2336 2496 2847 3504 3796 4672 4992 5694 7008 7592 9344 11388 14016 15184 22776 28032 30368 45552 60736 91104 121472 154267 182208 308534 364416 462801 617068 925602 1234136 1851204 2005471 2468272 3702408 4010942 4936544 6016413 7404816 8021884 9873088 11261491 12032826 14809632 16043768 19746176 22522982 24065652 29619264 32087536 33784473 45045964 48131304 59238528 64175072 67568946 90091928 96262608 128350144 135137892 146399383 180183856 192525216 256700288 270275784 292798766 360367712 385050432 439198149 540551568 585597532 720735424 770100864 878396298 1081103136 1171195064 1441470848 1756792596 2162206272 2342390128 3513585192 4324412544 4684780256 7027170384 9369560512 14054340768 18739121024 28108681536 56217363072