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42047401176 = 233211375327073
BaseRepresentation
bin100111001010001110…
…000110110011011000
311000112100121021220200
4213022032012303120
51142103113314201
631152153422200
73015655004304
oct471216066330
9130470537820
1042047401176
1116917730930
12819570a960
133c712b5151
14206c484d04
15116160e386
hex9ca386cd8

42047401176 has 192 divisors, whose sum is σ = 130000684320. Its totient is φ = 12162908160.

The previous prime is 42047401159. The next prime is 42047401189. The reversal of 42047401176 is 67110474024.

It is a happy number.

42047401176 is a `hidden beast` number, since 42 + 0 + 47 + 401 + 176 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42047401176.

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 47 ways as a sum of consecutive naturals, for example, 1539576 + ... + 1566648.

Almost surely, 242047401176 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 42047401176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65000342160).

42047401176 is an abundant number, since it is smaller than the sum of its proper divisors (87953283144).

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

42047401176 is a wasteful number, since it uses less digits than its factorization.

42047401176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27186 (or 27179 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 42047401176 in words is "forty-two billion, forty-seven million, four hundred one thousand, one hundred seventy-six".