Search a number
-
+
15990671160 = 2333597152641
BaseRepresentation
bin11101110010001111…
…00100011100111000
31112021102021021001000
432321013210130320
5230222102434120
611202423325000
71104156314352
oct167107443470
945242237030
1015990671160
116866353a12
1231232b0760
13167ab6acc9
14ab9a240d2
15638ca1990
hex3b91e4738

15990671160 has 128 divisors (see below), whose sum is σ = 53852097600. Its totient is φ = 4220190720.

The previous prime is 15990671159. The next prime is 15990671171. The reversal of 15990671160 is 6117609951.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 28440 + ... + 181080.

Almost surely, 215990671160 is an apocalyptic number.

15990671160 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 15990671160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26926048800).

15990671160 is an abundant number, since it is smaller than the sum of its proper divisors (37861426440).

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

15990671160 is a wasteful number, since it uses less digits than its factorization.

15990671160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152758 (or 152748 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 15990671160 in words is "fifteen billion, nine hundred ninety million, six hundred seventy-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 97 108 120 135 180 194 216 270 291 360 388 485 540 582 776 873 970 1080 1164 1455 1746 1940 2328 2619 2910 3492 3880 4365 5238 5820 6984 8730 10476 11640 13095 17460 20952 26190 34920 52380 104760 152641 305282 457923 610564 763205 915846 1221128 1373769 1526410 1831692 2289615 2747538 3052820 3663384 4121307 4579230 5495076 6105640 6868845 8242614 9158460 10990152 13737690 14806177 16485228 18316920 20606535 27475380 29612354 32970456 41213070 44418531 54950760 59224708 74030885 82426140 88837062 118449416 133255593 148061770 164852280 177674124 222092655 266511186 296123540 355348248 399766779 444185310 533022372 592247080 666277965 799533558 888370620 1066044744 1332555930 1599067116 1776741240 1998833895 2665111860 3198134232 3997667790 5330223720 7995335580 15990671160