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678980719032 = 233731117441073
BaseRepresentation
bin10011110000101100110…
…01111001000110111000
32101220120100000021212020
421320112121321012320
542111023031002112
61235530333114440
7100024526613000
oct11702631710670
92356510007766
10678980719032
11241a54a07810
12ab711328a20
134c048864095
1424c118d3000
15129ddaec48c
hex9e166791b8

678980719032 has 256 divisors, whose sum is σ = 2286527616000. Its totient is φ = 165984215040.

The previous prime is 678980719031. The next prime is 678980719033. The reversal of 678980719032 is 230917089876.

678980719032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (678980719031) and next prime (678980719033).

It is a super-2 number, since 2×6789807190322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678980719031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1318848 + ... + 1759920.

It is an arithmetic number, because the mean of its divisors is an integer number (8931748500).

Almost surely, 2678980719032 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 678980719032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143263808000).

678980719032 is an abundant number, since it is smaller than the sum of its proper divisors (1607546896968).

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

678980719032 is a wasteful number, since it uses less digits than its factorization.

678980719032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441131 (or 441113 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 678980719032 in words is "six hundred seventy-eight billion, nine hundred eighty million, seven hundred nineteen thousand, thirty-two".