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678354387360 = 253513415874517
BaseRepresentation
bin10011101111100010001…
…00101000000110100000
32101211221200110100022220
421313301010220012200
542103232210343420
61235344240431040
7100003153104066
oct11676104500640
92354850410286
10678354387360
11241763404531
12ab577618480
134bc78b79120
1424b92654036
15129a3b2c840
hex9df11281a0

678354387360 has 384 divisors, whose sum is σ = 2361851944704. Its totient is φ = 162593341440.

The previous prime is 678354387353. The next prime is 678354387379. The reversal of 678354387360 is 63783453876.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 678354387294 and 678354387303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150175822 + ... + 150180338.

It is an arithmetic number, because the mean of its divisors is an integer number (6150656106).

Almost surely, 2678354387360 is an apocalyptic number.

678354387360 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 678354387360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180925972352).

678354387360 is an abundant number, since it is smaller than the sum of its proper divisors (1683497557344).

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

678354387360 is a wasteful number, since it uses less digits than its factorization.

678354387360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176 (or 5168 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 60.

The spelling of 678354387360 in words is "six hundred seventy-eight billion, three hundred fifty-four million, three hundred eighty-seven thousand, three hundred sixty".