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42162055632 = 243397597351
BaseRepresentation
bin100111010001000011…
…011110100111010000
311000211100100100021000
4213101003132213100
51142321441240012
631211411102000
73021546362664
oct472103364720
9130740310230
1042162055632
1116976421484
128207ba1900
133c8bc89c18
14207d7ac8a4
15116b70addc
hex9d10de9d0

42162055632 has 40 divisors (see below), whose sum is σ = 121020716480. Its totient is φ = 14054018400.

The previous prime is 42162055627. The next prime is 42162055669. The reversal of 42162055632 is 23655026124.

42162055632 is a `hidden beast` number, since 4 + 2 + 16 + 2 + 0 + 5 + 5 + 632 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 48798244 + ... + 48799107.

It is an arithmetic number, because the mean of its divisors is an integer number (3025517912).

Almost surely, 242162055632 is an apocalyptic number.

It is an amenable number.

42162055632 is an abundant number, since it is smaller than the sum of its proper divisors (78858660848).

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

42162055632 is a wasteful number, since it uses less digits than its factorization.

42162055632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97597368 (or 97597356 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 42162055632 in words is "forty-two billion, one hundred sixty-two million, fifty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 97597351 195194702 292792053 390389404 585584106 780778808 878376159 1171168212 1561557616 1756752318 2342336424 2635128477 3513504636 4684672848 5270256954 7027009272 10540513908 14054018544 21081027816 42162055632