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132768144374448 = 24311457550229363
BaseRepresentation
bin11110001100000001111110…
…000101010011101010110000
3122102002111210021000102122010
4132030001332011103222300
5114400233124424440243
61150212502110442520
736652116246520632
oct3614017605235260
9572074707012563
10132768144374448
1139338721271840
1212a83432b03440
135910ca0135c3b
1424b0026332a52
15105390dd99433
hex78c07e153ab0

132768144374448 has 80 divisors (see below), whose sum is σ = 374983512483456. Its totient is φ = 40144734251520.

The previous prime is 132768144374443. The next prime is 132768144374473. The reversal of 132768144374448 is 844473441867231.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (132768144374443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274873386 + ... + 275355977.

Almost surely, 2132768144374448 is an apocalyptic number.

It is an amenable number.

132768144374448 is an abundant number, since it is smaller than the sum of its proper divisors (242215368109008).

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

132768144374448 is a wasteful number, since it uses less digits than its factorization.

132768144374448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550229842 (or 550229836 counting only the distinct ones).

The product of its digits is 346816512, while the sum is 66.

The spelling of 132768144374448 in words is "one hundred thirty-two trillion, seven hundred sixty-eight billion, one hundred forty-four million, three hundred seventy-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 457 528 914 1371 1828 2742 3656 5027 5484 7312 10054 10968 15081 20108 21936 30162 40216 60324 80432 120648 241296 550229363 1100458726 1650688089 2200917452 3301376178 4401834904 6052522993 6602752356 8803669808 12105045986 13205504712 18157568979 24210091972 26411009424 36315137958 48420183944 72630275916 96840367888 145260551832 251454818891 290521103664 502909637782 754364456673 1005819275564 1508728913346 2011638551128 2766003007801 3017457826692 4023277102256 5532006015602 6034915653384 8298009023403 11064012031204 12069831306768 16596018046806 22128024062408 33192036093612 44256048124816 66384072187224 132768144374448