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41725022976 = 28327131271567
BaseRepresentation
bin100110110111000000…
…010101001100000000
310222200212222210011100
4212313000111030000
51140423101213401
631100200014400
73004661562210
oct466700251400
9128625883140
1041725022976
111677176236a
128105761400
133c1c580610
14203b728240
15114317eb86
hex9b7015300

41725022976 has 432 divisors, whose sum is σ = 149326987264. Its totient is φ = 10910785536.

The previous prime is 41725022957. The next prime is 41725022993. The reversal of 41725022976 is 67922052714.

41725022976 is a `hidden beast` number, since 4 + 1 + 72 + 502 + 2 + 9 + 76 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26626545 + ... + 26628111.

Almost surely, 241725022976 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 41725022976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74663493632).

41725022976 is an abundant number, since it is smaller than the sum of its proper divisors (107601964288).

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

41725022976 is a wasteful number, since it uses less digits than its factorization.

41725022976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 41725022976 in words is "forty-one billion, seven hundred twenty-five million, twenty-two thousand, nine hundred seventy-six".