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15090993684 = 2234134776231
BaseRepresentation
bin11100000110111111…
…00100101000010100
31102221201100220120000
432003133210220110
5221401243244214
610533244211300
71042653221064
oct160337445024
942851326500
1015090993684
116444521a08
122b11b39b30
131566658380
14a3234d3a4
155d4cda809
hex3837e4a14

15090993684 has 120 divisors (see below), whose sum is σ = 43390034688. Its totient is φ = 4544527680.

The previous prime is 15090993677. The next prime is 15090993707. The reversal of 15090993684 is 48639909051.

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

It is a self number, because there is not a number n which added to its sum of digits gives 15090993684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159849 + ... + 236079.

Almost surely, 215090993684 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 15090993684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21695017344).

15090993684 is an abundant number, since it is smaller than the sum of its proper divisors (28299041004).

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

15090993684 is a wasteful number, since it uses less digits than its factorization.

15090993684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76307 (or 76296 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 15090993684 in words is "fifteen billion, ninety million, nine hundred ninety-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 47 52 54 78 81 94 108 117 141 156 162 188 234 282 324 351 423 468 564 611 702 846 1053 1222 1269 1404 1692 1833 2106 2444 2538 3666 3807 4212 5076 5499 7332 7614 10998 15228 16497 21996 32994 49491 65988 76231 98982 152462 197964 228693 304924 457386 686079 914772 991003 1372158 1982006 2058237 2744316 2973009 3582857 3964012 4116474 5946018 6174711 7165714 8232948 8919027 10748571 11892036 12349422 14331428 17838054 21497142 24698844 26757081 32245713 35676108 42994284 46577141 53514162 64491426 80271243 93154282 96737139 107028324 128982852 139731423 160542486 186308564 193474278 279462846 290211417 321084972 386948556 419194269 558925692 580422834 838388538 1160845668 1257582807 1676777076 2515165614 3772748421 5030331228 7545496842 15090993684