Search a number
-
+
132215155434630 = 23351728805044757
BaseRepresentation
bin11110000011111110111101…
…010111111010010010000110
3122100010122102111202200011000
4132003332331113322102012
5114312203114242402010
61145110445350354130
736564141543216252
oct3603767527722206
9570118374680130
10132215155434630
11391451504455a4
12129b422405b946
1358a0ab2c37208
142491367855262
1510443462b47c0
hex783fbd5fa486

132215155434630 has 64 divisors (see below), whose sum is σ = 373313380063680. Its totient is φ = 33183411558912.

The previous prime is 132215155434611. The next prime is 132215155434671. The reversal of 132215155434630 is 36434551512231.

132215155434630 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 5 + 1 + 5 + 5 + 4 + 3 + 4 + 630 = 666.

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

It is a Curzon number.

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, 14402517789 + ... + 14402526968.

It is an arithmetic number, because the mean of its divisors is an integer number (5833021563495).

Almost surely, 2132215155434630 is an apocalyptic number.

132215155434630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132215155434630 is an abundant number, since it is smaller than the sum of its proper divisors (241098224629050).

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

132215155434630 is a wasteful number, since it uses less digits than its factorization.

132215155434630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28805044790 (or 28805044784 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 132215155434630 in words is "one hundred thirty-two trillion, two hundred fifteen billion, one hundred fifty-five million, four hundred thirty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 28805044757 57610089514 86415134271 144025223785 172830268542 259245402813 288050447570 432075671355 489685760869 518490805626 777736208439 864151342710 979371521738 1296227014065 1469057282607 1555472416878 2448428804345 2592454028130 2938114565214 3888681042195 4407171847821 4896857608690 7345286413035 7777362084390 8814343695642 13221515543463 14690572826070 22035859239105 26443031086926 44071718478210 66107577717315 132215155434630