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56073343104 = 2732106945533
BaseRepresentation
bin110100001110001110…
…110101000010000000
312100201211212222010100
4310032032311002000
51404314233434404
641432034202400
74023356360262
oct641616650200
9170654788110
1056073343104
1121864a38679
12aa4aa23400
1353980a7b7c
1429dd191b32
1516d2b68d39
hexd0e3b5080

56073343104 has 96 divisors (see below), whose sum is σ = 161511374700. Its totient is φ = 18673219584.

The previous prime is 56073343069. The next prime is 56073343111. The reversal of 56073343104 is 40134337065.

56073343104 is a `hidden beast` number, since 5 + 6 + 0 + 7 + 334 + 310 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56055297600 + 18045504 = 236760^2 + 4248^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1208722 + ... + 1254254.

Almost surely, 256073343104 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 56073343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80755687350).

56073343104 is an abundant number, since it is smaller than the sum of its proper divisors (105438031596).

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

56073343104 is a wasteful number, since it uses less digits than its factorization.

56073343104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46622 (or 46607 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 56073343104 in words is "fifty-six billion, seventy-three million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1069 1152 2138 3207 4276 6414 8552 9621 12828 17104 19242 25656 34208 38484 45533 51312 68416 76968 91066 102624 136599 136832 153936 182132 205248 273198 307872 364264 409797 410496 546396 615744 728528 819594 1092792 1231488 1457056 1639188 2185584 2914112 3278376 4371168 5828224 6556752 8742336 13113504 17484672 26227008 48674777 52454016 97349554 146024331 194699108 292048662 389398216 438072993 584097324 778796432 876145986 1168194648 1557592864 1752291972 2336389296 3115185728 3504583944 4672778592 6230371456 7009167888 9345557184 14018335776 18691114368 28036671552 56073343104