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42001197252 = 22371610331051
BaseRepresentation
bin100111000111011101…
…110110100011000100
311000102010122220001020
4213013131312203010
51142004301303002
631143423231140
73014554200060
oct470735664304
9130363586036
1042001197252
11168a3643173
1281821484b0
133c64858851
142066298aa0
15115c5342bc
hex9c77768c4

42001197252 has 48 divisors (see below), whose sum is σ = 112013755392. Its totient is φ = 11999210400.

The previous prime is 42001197211. The next prime is 42001197319. The reversal of 42001197252 is 25279110024.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1337127 + ... + 1368177.

It is an arithmetic number, because the mean of its divisors is an integer number (2333619904).

Almost surely, 242001197252 is an apocalyptic number.

42001197252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42001197252 is an abundant number, since it is smaller than the sum of its proper divisors (70012558140).

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

42001197252 is a wasteful number, since it uses less digits than its factorization.

42001197252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47168 (or 47166 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 42001197252 in words is "forty-two billion, one million, one hundred ninety-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 16103 31051 32206 48309 62102 64412 93153 96618 112721 124204 186306 193236 217357 225442 338163 372612 434714 450884 652071 676326 869428 1304142 1352652 2608284 500014253 1000028506 1500042759 2000057012 3000085518 3500099771 6000171036 7000199542 10500299313 14000399084 21000598626 42001197252