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79961246376 = 2331117107269619
BaseRepresentation
bin100101001111000001…
…1111100101010101000
321122101122012012000120
41022132003330222220
52302230034341001
6100422251003240
75530341244164
oct1123603745250
9248348165016
1079961246376
1130a030479a0
12135b6a39520
1377040b668b
143c2796bca4
15212edb6236
hex129e0fcaa8

79961246376 has 256 divisors, whose sum is σ = 234306432000. Its totient is φ = 22471864320.

The previous prime is 79961246363. The next prime is 79961246401. The reversal of 79961246376 is 67364216997.

It is a super-3 number, since 3×799612463763 (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129177795 + ... + 129178413.

It is an arithmetic number, because the mean of its divisors is an integer number (915259500).

Almost surely, 279961246376 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 79961246376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117153216000).

79961246376 is an abundant number, since it is smaller than the sum of its proper divisors (154345185624).

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

79961246376 is a wasteful number, since it uses less digits than its factorization.

79961246376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1028 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 60.

The spelling of 79961246376 in words is "seventy-nine billion, nine hundred sixty-one million, two hundred forty-six thousand, three hundred seventy-six".