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84797905920 = 210357131931103
BaseRepresentation
bin100111011111001011…
…0010101110000000000
322002212201012221121020
41032332112111300000
52342131230442140
6102542225225440
76061241210340
oct1167626256000
9262781187536
1084797905920
1132a65230892
1214526792280
137cc51551c0
144166070d20
1523148056d0
hex13be595c00

84797905920 has 1408 divisors, whose sum is σ = 366235484160. Its totient is φ = 16243752960.

The previous prime is 84797905883. The next prime is 84797905943. The reversal of 84797905920 is 2950979748.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 127 ways as a sum of consecutive naturals, for example, 823280589 + ... + 823280691.

Almost surely, 284797905920 is an apocalyptic number.

84797905920 is a gapful number since it is divisible by the number (80) 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 84797905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183117742080).

84797905920 is an abundant number, since it is smaller than the sum of its proper divisors (281437578240).

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

84797905920 is a wasteful number, since it uses less digits than its factorization.

84797905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 84797905920 in words is "eighty-four billion, seven hundred ninety-seven million, nine hundred five thousand, nine hundred twenty".