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42264641364 = 223111567204331
BaseRepresentation
bin100111010111001010…
…110011111101010100
311001002111101020102120
4213113022303331110
51143024222010424
631225513535540
73024233344521
oct472712637524
9131074336376
1042264641364
1116a19319680
1282364145b0
133ca72c763a
14208d274148
151175721a79
hex9d72b3f54

42264641364 has 48 divisors (see below), whose sum is σ = 107651905536. Its totient is φ = 12799231200.

The previous prime is 42264641359. The next prime is 42264641387. The reversal of 42264641364 is 46314646224.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 104679 + ... + 309009.

It is an arithmetic number, because the mean of its divisors is an integer number (2242748032).

Almost surely, 242264641364 is an apocalyptic number.

42264641364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42264641364 is an abundant number, since it is smaller than the sum of its proper divisors (65387264172).

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

42264641364 is a wasteful number, since it uses less digits than its factorization.

42264641364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205916 (or 205914 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

The spelling of 42264641364 in words is "forty-two billion, two hundred sixty-four million, six hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1567 3134 4701 6268 9402 17237 18804 34474 51711 68948 103422 204331 206844 408662 612993 817324 1225986 2247641 2451972 4495282 6742923 8990564 13485846 26971692 320186677 640373354 960560031 1280746708 1921120062 3522053447 3842240124 7044106894 10566160341 14088213788 21132320682 42264641364