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42537141176076 = 22331920729600963
BaseRepresentation
bin10011010101111111100110…
…01100001000011100001100
312120121111210111122210212000
421222333303030020130030
521033412031120113301
6230245143132512300
711650131004155351
oct1152776314103414
9176544714583760
1042537141176076
111260a99a286698
12492bb9661b690
131a97309977361
14a70b46bc2628
154db74e35a786
hex26aff330870c

42537141176076 has 48 divisors (see below), whose sum is σ = 116085765398400. Its totient is φ = 13432781423376.

The previous prime is 42537141176063. The next prime is 42537141176137. The reversal of 42537141176076 is 67067114173524.

42537141176076 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 7 + 14 + 1 + 17 + 607 + 6 = 666.

42537141176076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10364798430 + ... + 10364802533.

It is an arithmetic number, because the mean of its divisors is an integer number (2418453445800).

Almost surely, 242537141176076 is an apocalyptic number.

It is an amenable number.

42537141176076 is an abundant number, since it is smaller than the sum of its proper divisors (73548624222324).

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

42537141176076 is a wasteful number, since it uses less digits than its factorization.

42537141176076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20729600995 (or 20729600987 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 42537141176076 in words is "forty-two trillion, five hundred thirty-seven billion, one hundred forty-one million, one hundred seventy-six thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 20729600963 41459201926 62188802889 82918403852 124377605778 186566408667 248755211556 373132817334 393862418297 559699226001 746265634668 787724836594 1119398452002 1181587254891 1575449673188 2238796904004 2363174509782 3544761764673 4726349019564 7089523529346 10634285294019 14179047058692 21268570588038 42537141176076