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42656132032 = 267110638831
BaseRepresentation
bin100111101110100000…
…001110101111000000
311002002210001000122221
4213232200032233000
51144324432211112
631332420540424
73040026065653
oct475640165700
9132083030587
1042656132032
11170aa302388
128325551714
13403a449a17
1420c926189a
151199ca3e07
hex9ee80ebc0

42656132032 has 56 divisors (see below), whose sum is σ = 85928435712. Its totient is φ = 21005510400.

The previous prime is 42656132027. The next prime is 42656132059. The reversal of 42656132032 is 23023165624.

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, 4825857 + ... + 4834687.

It is an arithmetic number, because the mean of its divisors is an integer number (1534436352).

Almost surely, 242656132032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42656132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42964217856).

42656132032 is an abundant number, since it is smaller than the sum of its proper divisors (43272303680).

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

42656132032 is a wasteful number, since it uses less digits than its factorization.

42656132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9977 (or 9967 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 42656132032 its reverse (23023165624), we get a palindrome (65679297656).

The spelling of 42656132032 in words is "forty-two billion, six hundred fifty-six million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1063 1136 2126 2272 4252 4544 8504 8831 17008 17662 34016 35324 68032 70648 75473 141296 150946 282592 301892 565184 603784 627001 1207568 1254002 2415136 2508004 4830272 5016008 9387353 10032016 18774706 20064032 37549412 40128064 75098824 150197648 300395296 600790592 666502063 1333004126 2666008252 5332016504 10664033008 21328066016 42656132032