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78664465152000 = 2113253731321931
BaseRepresentation
bin10001111000101101111111…
…100000000111100000000000
3101022112020201211102020221100
4101320231333200013200000
540302314311034331000
6435145542325454400
722366214531166000
oct2170557740074000
9338466654366840
1078664465152000
1123079459888782
1289a584a271400
1334b8047aaa500
14155d547c76000
1591639b034a00
hex478b7f807800

78664465152000 has 6912 divisors, whose sum is σ = 389056711680000. Its totient is φ = 15216574464000.

The previous prime is 78664465151999. The next prime is 78664465152001. The reversal of 78664465152000 is 25156446687.

78664465152000 is a `hidden beast` number, since 7 + 8 + 6 + 64 + 4 + 6 + 51 + 520 + 0 + 0 = 666.

78664465152000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (78664465151999) and next prime (78664465152001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78664465152001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2537563391985 + ... + 2537563392015.

It is an arithmetic number, because the mean of its divisors is an integer number (56287140000).

Almost surely, 278664465152000 is an apocalyptic number.

78664465152000 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 78664465152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194528355840000).

78664465152000 is an abundant number, since it is smaller than the sum of its proper divisors (310392246528000).

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

78664465152000 is a wasteful number, since it uses less digits than its factorization.

78664465152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 78664465152000 in words is "seventy-eight trillion, six hundred sixty-four billion, four hundred sixty-five million, one hundred fifty-two thousand".