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678807352080 = 24345111317411051
BaseRepresentation
bin10011110000011000001…
…00100011001100010000
32101220010020210100010000
421320030010203030100
542110144140231310
61235501221210000
7100020323201664
oct11701404431420
92356106710100
10678807352080
11241976065640
12ab683260900
134c01b9733a0
1424bd68848a4
15129cd7a44c0
hex9e0c123310

678807352080 has 1600 divisors, whose sum is σ = 3007081034496. Its totient is φ = 139345920000.

The previous prime is 678807352073. The next prime is 678807352081. The reversal of 678807352080 is 80253708876.

It is a super-2 number, since 2×6788073520802 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (678807352081) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 645867555 + ... + 645868605.

Almost surely, 2678807352080 is an apocalyptic number.

678807352080 is a gapful number since it is divisible by the number (60) 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 678807352080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503540517248).

678807352080 is an abundant number, since it is smaller than the sum of its proper divisors (2328273682416).

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

678807352080 is a wasteful number, since it uses less digits than its factorization.

678807352080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 678807352080 in words is "six hundred seventy-eight billion, eight hundred seven million, three hundred fifty-two thousand, eighty".