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79680067788384 = 253372192337432707
BaseRepresentation
bin10010000111011111110110…
…001000101101111001100000
3101110010100011220221201211000
4102013133312020231321200
540420434234323212014
6441244303502552000
722532460234153600
oct2207376610557140
9343110156851730
1079680067788384
1123430144014288
128b2a645598600
13355ca4b70196b
141596770574c00
159329dc44e509
hex4877f622de60

79680067788384 has 2304 divisors, whose sum is σ = 312177477427200. Its totient is φ = 19598216343552.

The previous prime is 79680067788371. The next prime is 79680067788481. The reversal of 79680067788384 is 48388776008697.

79680067788384 is a `hidden beast` number, since 7 + 96 + 8 + 0 + 0 + 6 + 77 + 88 + 384 = 666.

79680067788384 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×796800677883842 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29434822359 + ... + 29434825065.

It is an arithmetic number, because the mean of its divisors is an integer number (135493696800).

Almost surely, 279680067788384 is an apocalyptic number.

79680067788384 is a gapful number since it is divisible by the number (74) 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 79680067788384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156088738713600).

79680067788384 is an abundant number, since it is smaller than the sum of its proper divisors (232497409638816).

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

79680067788384 is a wasteful number, since it uses less digits than its factorization.

79680067788384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 5462360064, while the sum is 81.

The spelling of 79680067788384 in words is "seventy-nine trillion, six hundred eighty billion, sixty-seven million, seven hundred eighty-eight thousand, three hundred eighty-four".