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59471679904 = 257131719531193
BaseRepresentation
bin110111011000110010…
…011101000110100000
312200111200110100211021
4313120302131012200
51433244222224104
643153152255224
74203522636610
oct673062350640
9180450410737
1059471679904
112324923838a
12b638b41514
1357ba16a950
142c42648a40
151831193754
hexdd8c9d1a0

59471679904 has 384 divisors, whose sum is σ = 163779356160. Its totient is φ = 20564803584.

The previous prime is 59471679901. The next prime is 59471679979. The reversal of 59471679904 is 40997617495.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (59471679901) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 49849932 + ... + 49851124.

It is an arithmetic number, because the mean of its divisors is an integer number (426508740).

Almost surely, 259471679904 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 59471679904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81889678080).

59471679904 is an abundant number, since it is smaller than the sum of its proper divisors (104307676256).

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

59471679904 is a wasteful number, since it uses less digits than its factorization.

59471679904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 61.

The spelling of 59471679904 in words is "fifty-nine billion, four hundred seventy-one million, six hundred seventy-nine thousand, nine hundred four".