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679193242506 = 23312577652639
BaseRepresentation
bin10011110001000110001…
…00100110101110001010
32101221010010220121021000
421320203010212232022
542111441432230011
61240003404155430
7100033020206652
oct11704304465612
92357103817230
10679193242506
11242053973849
12ab770538b76
134c0808b470c
1424c31c15362
1512a025cc356
hex9e23126b8a

679193242506 has 16 divisors (see below), whose sum is σ = 1509318316800. Its totient is φ = 226397747484.

The previous prime is 679193242501. The next prime is 679193242549. The reversal of 679193242506 is 605242391976.

679193242506 is a `hidden beast` number, since 6 + 7 + 9 + 1 + 93 + 2 + 42 + 506 = 666.

It is a super-2 number, since 2×6791932425062 (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), and also a Moran number because the ratio is a prime number: 12577652639 = 679193242506 / (6 + 7 + 9 + 1 + 9 + 3 + 2 + 4 + 2 + 5 + 0 + 6).

It is not an unprimeable number, because it can be changed into a prime (679193242501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6288826266 + ... + 6288826373.

It is an arithmetic number, because the mean of its divisors is an integer number (94332394800).

Almost surely, 2679193242506 is an apocalyptic number.

679193242506 is an abundant number, since it is smaller than the sum of its proper divisors (830125074294).

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

679193242506 is a wasteful number, since it uses less digits than its factorization.

679193242506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12577652650 (or 12577652644 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 679193242506 in words is "six hundred seventy-nine billion, one hundred ninety-three million, two hundred forty-two thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 12577652639 25155305278 37732957917 75465915834 113198873751 226397747502 339596621253 679193242506