Search a number
-
+
132156261631220 = 22541293550055197
BaseRepresentation
bin11110000011001000000111…
…000001111000010011110100
3122022221000102002200110211212
4132003020013001320103310
5114310222010434144340
61145023425400020552
736556655235153431
oct3603100701702364
9568830362613755
10132156261631220
11391221794253a2
12129a4928761758
13589838871a328
14248c57bc74b88
151042a4ac1da65
hex7832070784f4

132156261631220 has 48 divisors (see below), whose sum is σ = 285267426565968. Its totient is φ = 51397157514240.

The previous prime is 132156261631201. The next prime is 132156261631291. The reversal of 132156261631220 is 22136162651231.

It can be written as a sum of positive squares in 8 ways, for example, as 5093453169424 + 127062808461796 = 2256868^2 + 11272214^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274787339 + ... + 275267858.

It is an arithmetic number, because the mean of its divisors is an integer number (5943071386791).

Almost surely, 2132156261631220 is an apocalyptic number.

132156261631220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132156261631220 is an abundant number, since it is smaller than the sum of its proper divisors (153111164934748).

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

132156261631220 is a wasteful number, since it uses less digits than its factorization.

132156261631220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550055540 (or 550055538 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 132156261631220 in words is "one hundred thirty-two trillion, one hundred fifty-six billion, two hundred sixty-one million, six hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 293 410 586 820 1172 1465 2930 5860 12013 24026 48052 60065 120130 240260 550055197 1100110394 2200220788 2750275985 5500551970 11001103940 22552263077 45104526154 90209052308 112761315385 161166172721 225522630770 322332345442 451045261540 644664690884 805830863605 1611661727210 3223323454420 6607813081561 13215626163122 26431252326244 33039065407805 66078130815610 132156261631220