Search a number
-
+
132631375760 = 24513297110103
BaseRepresentation
bin111101110000101110…
…0100010111110010000
3110200100022022222120022
41323201130202332100
54133112113011020
6140532514403012
712403505043542
oct1734134427620
9420308288508
10132631375760
1151280a54744
1221855b90468
13c6790b1a00
1465c2b57692
1536b3d90625
hex1ee1722f90

132631375760 has 120 divisors (see below), whose sum is σ = 334290193344. Its totient is φ = 48916308480.

The previous prime is 132631375741. The next prime is 132631375777. The reversal of 132631375760 is 67573136231.

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 23 ways as a sum of consecutive naturals, for example, 13122869 + ... + 13132971.

Almost surely, 2132631375760 is an apocalyptic number.

132631375760 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 132631375760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167145096672).

132631375760 is an abundant number, since it is smaller than the sum of its proper divisors (201658817584).

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

132631375760 is a wasteful number, since it uses less digits than its factorization.

132631375760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113 (or 11094 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 44.

The spelling of 132631375760 in words is "one hundred thirty-two billion, six hundred thirty-one million, three hundred seventy-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 971 1040 1352 1690 1942 2704 3380 3884 4855 6760 7768 9710 10103 12623 13520 15536 19420 20206 25246 38840 40412 50492 50515 63115 77680 80824 100984 101030 126230 131339 161648 164099 201968 202060 252460 262678 328198 404120 504920 525356 656396 656695 808240 820495 1009840 1050712 1312792 1313390 1640990 1707407 2101424 2625584 2626780 3281980 3414814 5253560 6563960 6829628 8537035 9810013 10507120 13127920 13659256 17074070 19620026 27318512 34148140 39240052 49050065 68296280 78480104 98100130 127530169 136592560 156960208 196200260 255060338 392400520 510120676 637650845 784801040 1020241352 1275301690 1657892197 2040482704 2550603380 3315784394 5101206760 6631568788 8289460985 10202413520 13263137576 16578921970 26526275152 33157843940 66315687880 132631375760