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42358334832 = 2433118913791
BaseRepresentation
bin100111011100110000…
…001110010101110000
311001100000200100201000
4213130300032111300
51143222213203312
631243102042000
73026451622362
oct473460162560
9131300610630
1042358334832
1116a671a29a0
128261879300
133cc0840768
14209b8a2d32
15117da7cadc
hex9dcc0e570

42358334832 has 80 divisors (see below), whose sum is σ = 132637224960. Its totient is φ = 12835857600.

The previous prime is 42358334831. The next prime is 42358334839. The reversal of 42358334832 is 23843385324.

42358334832 is a `hidden beast` number, since 4 + 2 + 3 + 583 + 34 + 8 + 32 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42358334831) 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 15 ways as a sum of consecutive naturals, for example, 4452144 + ... + 4461647.

It is an arithmetic number, because the mean of its divisors is an integer number (1657965312).

Almost surely, 242358334832 is an apocalyptic number.

It is an amenable number.

42358334832 is an abundant number, since it is smaller than the sum of its proper divisors (90278890128).

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

42358334832 is a wasteful number, since it uses less digits than its factorization.

42358334832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8913819 (or 8913807 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 42358334832 in words is "forty-two billion, three hundred fifty-eight million, three hundred thirty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 8913791 17827582 26741373 35655164 53482746 71310328 80224119 98051701 106965492 142620656 160448238 196103402 213930984 240672357 294155103 320896476 392206804 427861968 481344714 588310206 641792952 784413608 882465309 962689428 1176620412 1283585904 1568827216 1764930618 1925378856 2353240824 2647395927 3529861236 3850757712 4706481648 5294791854 7059722472 10589583708 14119444944 21179167416 42358334832