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42646780032 = 273271409813
BaseRepresentation
bin100111101101111100…
…100011100010000000
311002002010102220010120
4213231330203202000
51144320033430112
631331444300240
73036553435443
oct475574434200
9132063386116
1042646780032
11170a4aa505a
1283223a1680
1340385240ac
1420c7d0965a
151199057e8c
hex9edf23880

42646780032 has 64 divisors (see below), whose sum is σ = 113698796160. Its totient is φ = 14163102720.

The previous prime is 42646779997. The next prime is 42646780039. The reversal of 42646780032 is 23008764624.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (42646780039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100843 + ... + 308970.

It is an arithmetic number, because the mean of its divisors is an integer number (1776543690).

Almost surely, 242646780032 is an apocalyptic number.

It is an amenable number.

42646780032 is an abundant number, since it is smaller than the sum of its proper divisors (71052016128).

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

42646780032 is a wasteful number, since it uses less digits than its factorization.

42646780032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410101 (or 410089 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 42646780032 in words is "forty-two billion, six hundred forty-six million, seven hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 271 384 542 813 1084 1626 2168 3252 4336 6504 8672 13008 17344 26016 34688 52032 104064 409813 819626 1229439 1639252 2458878 3278504 4917756 6557008 9835512 13114016 19671024 26228032 39342048 52456064 78684096 111059323 157368192 222118646 333177969 444237292 666355938 888474584 1332711876 1776949168 2665423752 3553898336 5330847504 7107796672 10661695008 14215593344 21323390016 42646780032