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679531440042 = 2327134179263487
BaseRepresentation
bin10011110001101110011…
…10101110011110101010
32101221222201021211001200
421320313032232132222
542113140022040132
61240101125025030
7100044264636420
oct11706716563652
92357881254050
10679531440042
11242207867644
12ab845855176
134c1059977c0
1424c64acd110
1512a22133d7c
hex9e373ae7aa

679531440042 has 384 divisors, whose sum is σ = 1890800271360. Its totient is φ = 171623162880.

The previous prime is 679531439987. The next prime is 679531440043. The reversal of 679531440042 is 240044135976.

679531440042 is a `hidden beast` number, since 6 + 79 + 531 + 4 + 4 + 0 + 0 + 42 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 679531440042.

It is not an unprimeable number, because it can be changed into a prime (679531440043) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1395341523 + ... + 1395342009.

It is an arithmetic number, because the mean of its divisors is an integer number (4923959040).

Almost surely, 2679531440042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679531440042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945400135680).

679531440042 is an abundant number, since it is smaller than the sum of its proper divisors (1211268831318).

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

679531440042 is a wasteful number, since it uses less digits than its factorization.

679531440042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 679531440042 in words is "six hundred seventy-nine billion, five hundred thirty-one million, four hundred forty thousand, forty-two".