Search a number
-
+
132253589136 = 24337411816271
BaseRepresentation
bin111101100101011101…
…1011001111010010000
3110122100222110102202010
41323022323121322100
54131323404323021
6140431221222520
712361236650034
oct1731273317220
9418328412663
10132253589136
11510a7780a99
122176b561a40
13c618a4a126
1465888d61c4
153690b18976
hex1ecaed9e90

132253589136 has 80 divisors (see below), whose sum is σ = 359447493888. Its totient is φ = 41846860800.

The previous prime is 132253589129. The next prime is 132253589183. The reversal of 132253589136 is 631985352231.

132253589136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 835320 + ... + 980951.

Almost surely, 2132253589136 is an apocalyptic number.

132253589136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132253589136 is an abundant number, since it is smaller than the sum of its proper divisors (227193904752).

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

132253589136 is a wasteful number, since it uses less digits than its factorization.

132253589136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816360 (or 1816354 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The spelling of 132253589136 in words is "one hundred thirty-two billion, two hundred fifty-three million, five hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 41 48 74 82 111 123 148 164 222 246 296 328 444 492 592 656 888 984 1517 1776 1968 3034 4551 6068 9102 12136 18204 24272 36408 72816 1816271 3632542 5448813 7265084 10897626 14530168 21795252 29060336 43590504 67202027 74467111 87181008 134404054 148934222 201606081 223401333 268808108 297868444 403212162 446802666 537616216 595736888 806424324 893605332 1075232432 1191473776 1612848648 1787210664 2755283107 3225697296 3574421328 5510566214 8265849321 11021132428 16531698642 22042264856 33063397284 44084529712 66126794568 132253589136