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42696099274752 = 2133371117316771
BaseRepresentation
bin10011011010100111101011…
…10101001010000000000000
312121011201002120100212221000
421231103311311022000000
521044013102403243002
6230450152304332000
711664456066543360
oct1155236565120000
9177151076325830
1042696099274752
111267134aa56980
124956959314000
131aa92c00c5a01
14a7870619c9a0
154e09545db61c
hex26d4f5d4a000

42696099274752 has 3584 divisors, whose sum is σ = 177414269829120. Its totient is φ = 9809952768000.

The previous prime is 42696099274747. The next prime is 42696099274781. The reversal of 42696099274752 is 25747299069624.

42696099274752 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 60 + 9 + 92 + 7 + 475 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 255 ways as a sum of consecutive naturals, for example, 601353510877 + ... + 601353510947.

Almost surely, 242696099274752 is an apocalyptic number.

42696099274752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42696099274752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88707134914560).

42696099274752 is an abundant number, since it is smaller than the sum of its proper divisors (134718170554368).

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

42696099274752 is a wasteful number, since it uses less digits than its factorization.

42696099274752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 42696099274752 in words is "forty-two trillion, six hundred ninety-six billion, ninety-nine million, two hundred seventy-four thousand, seven hundred fifty-two".