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57465438680 = 23513534614523
BaseRepresentation
bin110101100001001101…
…010000000111011000
312111022212100202020202
4311201031100013120
51420142123014210
642222123441332
74103022112046
oct654115200730
9174285322222
1057465438680
1122409818691
12b179086248
13555a619870
142ad2007396
151764e9b9a5
hexd613501d8

57465438680 has 128 divisors (see below), whose sum is σ = 142209587520. Its totient is φ = 20767918080.

The previous prime is 57465438673. The next prime is 57465438703. The reversal of 57465438680 is 8683456475.

It is a congruent number.

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, 12702899 + ... + 12707421.

Almost surely, 257465438680 is an apocalyptic number.

It is a pronic number, being equal to 239719×239720.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57465438680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71104793760).

57465438680 is an abundant number, since it is smaller than the sum of its proper divisors (84744148840).

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

57465438680 is a wasteful number, since it uses less digits than its factorization.

57465438680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 56.

The spelling of 57465438680 in words is "fifty-seven billion, four hundred sixty-five million, four hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 461 520 530 689 922 1060 1378 1844 2120 2305 2756 3445 3688 4523 4610 5512 5993 6890 9046 9220 11986 13780 18092 18440 22615 23972 24433 27560 29965 36184 45230 47944 48866 58799 59930 90460 97732 117598 119860 122165 180920 195464 235196 239719 239720 244330 293995 317629 470392 479438 488660 587990 635258 958876 977320 1175980 1198595 1270516 1588145 1917752 2085103 2351960 2397190 2541032 3116347 3176290 4170206 4794380 6232694 6352580 8340412 9588760 10425515 12465388 12705160 15581735 16680824 20851030 24930776 27106339 31163470 41702060 54212678 62326940 83404120 108425356 110510459 124653880 135531695 216850712 221020918 271063390 442041836 542126780 552552295 884083672 1084253560 1105104590 1436635967 2210209180 2873271934 4420418360 5746543868 7183179835 11493087736 14366359670 28732719340 57465438680