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78775030414080 = 28345721113219439
BaseRepresentation
bin10001111010010100111101…
…101101000111101100000000
3101022220211010022110112010000
4101322110331231013230000
540311122230241222310
6435312425511040000
722410210455334600
oct2172247555075400
9338824108415100
1078775030414080
112311133700a630
128a03166370000
1334c55b842c600
141564a3615cc00
159191bca874c0
hex47a53db47b00

78775030414080 has 6480 divisors, whose sum is σ = 408646124409600. Its totient is φ = 14281842032640.

The previous prime is 78775030414063. The next prime is 78775030414097. The reversal of 78775030414080 is 8041403057787.

78775030414080 is a `hidden beast` number, since 7 + 8 + 77 + 50 + 30 + 414 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (78775030414063) and next prime (78775030414097).

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 179441982501 + ... + 179441982939.

It is an arithmetic number, because the mean of its divisors is an integer number (63062673520).

Almost surely, 278775030414080 is an apocalyptic number.

78775030414080 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 78775030414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204323062204800).

78775030414080 is an abundant number, since it is smaller than the sum of its proper divisors (329871093995520).

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

78775030414080 is a wasteful number, since it uses less digits than its factorization.

78775030414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 78775030414080 in words is "seventy-eight trillion, seven hundred seventy-five billion, thirty million, four hundred fourteen thousand, eighty".