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59291959104 = 2632741358667
BaseRepresentation
bin110111001110000100…
…110111111101000000
312200001011021121020100
4313032010313331000
51432412220142404
643123252242400
74166211223350
oct671604677500
9180034247210
1059291959104
11231668464a4
12b5a8910400
13578bb63b91
142c26824b60
1518204e2d39
hexdce137f40

59291959104 has 168 divisors, whose sum is σ = 198966051648. Its totient is φ = 16527329280.

The previous prime is 59291959087. The next prime is 59291959121. The reversal of 59291959104 is 40195919295.

It is an interprime number because it is at equal distance from previous prime (59291959087) and next prime (59291959121).

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 14022 + ... + 344645.

It is an arithmetic number, because the mean of its divisors is an integer number (1184321736).

Almost surely, 259291959104 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 59291959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99483025824).

59291959104 is an abundant number, since it is smaller than the sum of its proper divisors (139674092544).

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

59291959104 is a wasteful number, since it uses less digits than its factorization.

59291959104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358733 (or 358720 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 54.

The spelling of 59291959104 in words is "fifty-nine billion, two hundred ninety-one million, nine hundred fifty-nine thousand, one hundred four".