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42645611016 = 23321009587017
BaseRepresentation
bin100111101101111000…
…000110001000001000
311002002001020111112200
4213231320012020020
51144314234023031
631331403240200
73036540466311
oct475570061010
9132061214480
1042645611016
11170a4376828
128321b19060
134038204c78
1420c7ac3608
151198dc68e6
hex9ede06208

42645611016 has 48 divisors (see below), whose sum is σ = 115613195100. Its totient is φ = 14201091072.

The previous prime is 42645611009. The next prime is 42645611033. The reversal of 42645611016 is 61011654624.

42645611016 is a `hidden beast` number, since 4 + 2 + 645 + 6 + 1 + 1 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39788280900 + 2857330116 = 199470^2 + 53454^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220861 + ... + 366156.

Almost surely, 242645611016 is an apocalyptic number.

It is an amenable number.

42645611016 is an abundant number, since it is smaller than the sum of its proper divisors (72967584084).

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

42645611016 is a wasteful number, since it uses less digits than its factorization.

42645611016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588038 (or 588031 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 42645611016 in words is "forty-two billion, six hundred forty-five million, six hundred eleven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1009 2018 3027 4036 6054 8072 9081 12108 18162 24216 36324 72648 587017 1174034 1761051 2348068 3522102 4696136 5283153 7044204 10566306 14088408 21132612 42265224 592300153 1184600306 1776900459 2369200612 3553800918 4738401224 5330701377 7107601836 10661402754 14215203672 21322805508 42645611016