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74135249040 = 2435723742683
BaseRepresentation
bin100010100001011001…
…1100010000010010000
321002100121112212010110
41011002303202002100
52203312110432130
654020211401320
75233066135206
oct1050263420220
9232317485113
1074135249040
1129493462966
121244b8b3240
136cb60a1a88
143833cd5076
151ddd69eab0
hex1142ce2090

74135249040 has 80 divisors (see below), whose sum is σ = 229856413248. Its totient is φ = 19766204928.

The previous prime is 74135249039. The next prime is 74135249081. The reversal of 74135249040 is 4094253147.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 74135249040.

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, 1715539 + ... + 1758221.

Almost surely, 274135249040 is an apocalyptic number.

It is an amenable number.

74135249040 is an abundant number, since it is smaller than the sum of its proper divisors (155721164208).

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

74135249040 is a wasteful number, since it uses less digits than its factorization.

74135249040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49936 (or 49930 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 74135249040 in words is "seventy-four billion, one hundred thirty-five million, two hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 7237 14474 21711 28948 36185 42683 43422 57896 72370 85366 86844 108555 115792 128049 144740 170732 173688 213415 217110 256098 289480 341464 347376 426830 434220 512196 578960 640245 682928 853660 868440 1024392 1280490 1707320 1736880 2048784 2560980 3414640 5121960 10243920 308896871 617793742 926690613 1235587484 1544484355 1853381226 2471174968 3088968710 3706762452 4633453065 4942349936 6177937420 7413524904 9266906130 12355874840 14827049808 18533812260 24711749680 37067624520 74135249040