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15107897040 = 2435109751769
BaseRepresentation
bin11100001001000000…
…00011011011010000
31102222220011200121020
432010200003123100
5221420110201130
610535050355440
71043250002025
oct160440033320
942886150536
1015107897040
116453017725
122b1772bb80
131569cc6162
14a346ad54c
155d6528e10
hex3848036d0

15107897040 has 160 divisors (see below), whose sum is σ = 47388633600. Its totient is φ = 3981312000.

The previous prime is 15107897029. The next prime is 15107897053. The reversal of 15107897040 is 4079870151.

It is a junction number, because it is equal to n+sod(n) for n = 15107896983 and 15107897001.

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, 19645776 + ... + 19646544.

It is an arithmetic number, because the mean of its divisors is an integer number (296178960).

Almost surely, 215107897040 is an apocalyptic number.

15107897040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15107897040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23694316800).

15107897040 is an abundant number, since it is smaller than the sum of its proper divisors (32280736560).

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

15107897040 is a wasteful number, since it uses less digits than its factorization.

15107897040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 15107897040 in words is "fifteen billion, one hundred seven million, eight hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 436 545 654 751 769 872 1090 1308 1502 1538 1635 1744 2180 2253 2307 2616 3004 3076 3270 3755 3845 4360 4506 4614 5232 6008 6152 6540 7510 7690 8720 9012 9228 11265 11535 12016 12304 13080 15020 15380 18024 18456 22530 23070 26160 30040 30760 36048 36912 45060 46140 60080 61520 81859 83821 90120 92280 163718 167642 180240 184560 245577 251463 327436 335284 409295 419105 491154 502926 577519 654872 670568 818590 838210 982308 1005852 1155038 1227885 1257315 1309744 1341136 1637180 1676420 1732557 1964616 2011704 2310076 2455770 2514630 2887595 3274360 3352840 3465114 3929232 4023408 4620152 4911540 5029260 5775190 6548720 6705680 6930228 8662785 9240304 9823080 10058520 11550380 13860456 17325570 19646160 20117040 23100760 27720912 34651140 46201520 62949571 69302280 125899142 138604560 188848713 251798284 314747855 377697426 503596568 629495710 755394852 944243565 1007193136 1258991420 1510789704 1888487130 2517982840 3021579408 3776974260 5035965680 7553948520 15107897040