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3716427987104 = 257101787920849
BaseRepresentation
bin110110000101001100010…
…111101011100010100000
3111011021202020220212220212
4312011030113223202200
5441342221031041404
611523145313353252
7532334356445540
oct66051427534240
914137666825825
103716427987104
111203145791218
12500328268828
1320c5c4613371
14cbc39d3b320
1566a15b8306e
hex3614c5eb8a0

3716427987104 has 96 divisors (see below), whose sum is σ = 8446231584000. Its totient is φ = 1576709222400.

The previous prime is 3716427987089. The next prime is 3716427987113. The reversal of 3716427987104 is 4017897246173.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178244072 + ... + 178264920.

It is an arithmetic number, because the mean of its divisors is an integer number (87981579000).

Almost surely, 23716427987104 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 3716427987104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223115792000).

3716427987104 is an abundant number, since it is smaller than the sum of its proper divisors (4729803596896).

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

3716427987104 is a wasteful number, since it uses less digits than its factorization.

3716427987104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28846 (or 28838 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 59.

The spelling of 3716427987104 in words is "three trillion, seven hundred sixteen billion, four hundred twenty-seven million, nine hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 101 112 202 224 404 707 808 1414 1616 2828 3232 5656 7879 11312 15758 20849 22624 31516 41698 55153 63032 83396 110306 126064 145943 166792 220612 252128 291886 333584 441224 583772 667168 795779 882448 1167544 1591558 1764896 2105749 2335088 3183116 4211498 4670176 5570453 6366232 8422996 11140906 12732464 14740243 16845992 22281812 25464928 29480486 33691984 44563624 58960972 67383968 89127248 117921944 164269271 178254496 235843888 328538542 471687776 657077084 1149884897 1314154168 2299769794 2628308336 4599539588 5256616672 9199079176 16591196371 18398158352 33182392742 36796316704 66364785484 116138374597 132729570968 232276749194 265459141936 464553498388 530918283872 929106996776 1858213993552 3716427987104