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78754199927040 = 28335113797197293
BaseRepresentation
bin10001111010000001100100…
…000111000111100100000000
3101022211211100121020010211000
4101322001210013013210000
540310302100140131130
6435255102513252000
722405542330166641
oct2172014407074400
9338754317203730
1078754199927040
1123103517817390
1289bb112264000
1334c3648989231
141563a1b8536c8
1591889de71260
hex47a0641c7900

78754199927040 has 2304 divisors, whose sum is σ = 319032980259840. Its totient is φ = 18228675870720.

The previous prime is 78754199926993. The next prime is 78754199927099. The reversal of 78754199927040 is 4072999145787.

78754199927040 is a `hidden beast` number, since 7 + 8 + 7 + 541 + 9 + 9 + 9 + 2 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×787541999270402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 78754199927040.

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 255 ways as a sum of consecutive naturals, for example, 268785665134 + ... + 268785665426.

It is an arithmetic number, because the mean of its divisors is an integer number (138469175460).

Almost surely, 278754199927040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78754199927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159516490129920).

78754199927040 is an abundant number, since it is smaller than the sum of its proper divisors (240278780332800).

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

78754199927040 is a wasteful number, since it uses less digits than its factorization.

78754199927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 78754199927040 in words is "seventy-eight trillion, seven hundred fifty-four billion, one hundred ninety-nine million, nine hundred twenty-seven thousand, forty".