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73695378680 = 235721131711553
BaseRepresentation
bin100010010100010010…
…1100011110011111000
321001012221212010102122
41010220211203303320
52201412004104210
653504415420412
75216145245300
oct1045045436370
9231187763378
1073695378680
1129288135840
1212348524708
136c45c10961
1437d1712600
151db4c62b55
hex1128963cf8

73695378680 has 384 divisors, whose sum is σ = 220410408960. Its totient is φ = 21901824000.

The previous prime is 73695378661. The next prime is 73695378719. The reversal of 73695378680 is 8687359637.

It is a Harshad number since it is a multiple of its sum of digits (62).

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 95 ways as a sum of consecutive naturals, for example, 47452784 + ... + 47454336.

It is an arithmetic number, because the mean of its divisors is an integer number (573985440).

Almost surely, 273695378680 is an apocalyptic number.

73695378680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73695378680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110205204480).

73695378680 is an abundant number, since it is smaller than the sum of its proper divisors (146715030280).

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

73695378680 is a wasteful number, since it uses less digits than its factorization.

73695378680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 62.

The spelling of 73695378680 in words is "seventy-three billion, six hundred ninety-five million, three hundred seventy-eight thousand, six hundred eighty".