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57480565356 = 2233839766107
BaseRepresentation
bin110101100010000110…
…111101001001101100
312111100220211021011000
4311202012331021230
51420210011042411
642223424000300
74103264513124
oct654206751154
9174326737130
1057480565356
112241730a575
12b182160090
1355607b4a66
142ad4023c84
151766488956
hexd621bd26c

57480565356 has 96 divisors (see below), whose sum is σ = 152376295680. Its totient is φ = 18733911552.

The previous prime is 57480565343. The next prime is 57480565367. The reversal of 57480565356 is 65356508475.

It is a happy number.

57480565356 is a `hidden beast` number, since 5 + 7 + 48 + 0 + 565 + 35 + 6 = 666.

57480565356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836455 + ... + 902561.

It is an arithmetic number, because the mean of its divisors is an integer number (1587253080).

Almost surely, 257480565356 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 57480565356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76188147840).

57480565356 is an abundant number, since it is smaller than the sum of its proper divisors (94895730324).

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

57480565356 is a wasteful number, since it uses less digits than its factorization.

57480565356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66300 (or 66292 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 57480565356 in words is "fifty-seven billion, four hundred eighty million, five hundred sixty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 97 108 166 194 249 291 332 388 498 582 747 873 996 1164 1494 1746 2241 2619 2988 3492 4482 5238 8051 8964 10476 16102 24153 32204 48306 66107 72459 96612 132214 144918 198321 217377 264428 289836 396642 434754 594963 793284 869508 1189926 1784889 2379852 3569778 5486881 6412379 7139556 10973762 12824758 16460643 19237137 21947524 25649516 32921286 38474274 49381929 57711411 65842572 76948548 98763858 115422822 148145787 173134233 197527716 230845644 296291574 346268466 532227457 592583148 692536932 1064454914 1596682371 2128909828 3193364742 4790047113 6386729484 9580094226 14370141339 19160188452 28740282678 57480565356