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678392916012 = 2233723137731531
BaseRepresentation
bin10011101111100110101…
…11100110100000101100
32101212001100221210201000
421313303113212200230
542103322041303022
61235352134320300
7100004131433400
oct11676327464054
92355040853630
10678392916012
1124178312a699
12ab5884b9090
134bc83b49046
1424b97803100
15129a71dd6ac
hex9df35e682c

678392916012 has 576 divisors, whose sum is σ = 2200173588480. Its totient is φ = 179886873600.

The previous prime is 678392915951. The next prime is 678392916037. The reversal of 678392916012 is 210619293876.

678392916012 is a `hidden beast` number, since 6 + 7 + 8 + 3 + 9 + 29 + 1 + 601 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 678392916012.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 443103687 + ... + 443105217.

Almost surely, 2678392916012 is an apocalyptic number.

678392916012 is a gapful number since it is divisible by the number (62) 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 678392916012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100086794240).

678392916012 is an abundant number, since it is smaller than the sum of its proper divisors (1521780672468).

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

678392916012 is a wasteful number, since it uses less digits than its factorization.

678392916012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 678392916012 in words is "six hundred seventy-eight billion, three hundred ninety-two million, nine hundred sixteen thousand, twelve".