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96455106478080 = 214385731827
BaseRepresentation
bin10101111011100110110100…
…010110111100000000000000
3110122112000111012202100000000
4111323212310112330000000
5100120310024224244310
6541050510400000000
726213436312313110
oct2573466426740000
9418460435670000
1096455106478080
1128808421033579
12a999790000000
1341a88a665842c
1419b6648663040
15b2404303d4c0
hex57b9b45bc000

96455106478080 has 2160 divisors, whose sum is σ = 410107267454976. Its totient is φ = 21309892853760.

The previous prime is 96455106478039. The next prime is 96455106478183. The reversal of 96455106478080 is 8087460155469.

96455106478080 is a `hidden beast` number, since 9 + 6 + 4 + 55 + 106 + 478 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 96455106477999 and 96455106478017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116632534627 + ... + 116632535453.

Almost surely, 296455106478080 is an apocalyptic number.

96455106478080 is a gapful number since it is divisible by the number (90) 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 96455106478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205053633727488).

96455106478080 is an abundant number, since it is smaller than the sum of its proper divisors (313652160976896).

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

96455106478080 is an frugal number, since it uses more digits than its factorization.

96455106478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 96455106478080 in words is "ninety-six trillion, four hundred fifty-five billion, one hundred six million, four hundred seventy-eight thousand, eighty".