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688091879466 = 23241299258253
BaseRepresentation
bin10100000001101010111…
…10001101100000101010
32102210002022021012022200
422000311132031200222
542233203010120331
61244034405001030
7100466362320645
oct12006536154052
92383068235280
10688091879466
112458aaa22472
12b14346b3176
134cb6b364984
14254379a2a5c
1512d739355e6
hexa03578d82a

688091879466 has 24 divisors (see below), whose sum is σ = 1491226971780. Its totient is φ = 229308385536.

The previous prime is 688091879429. The next prime is 688091879479. The reversal of 688091879466 is 664978190886.

688091879466 is a `hidden beast` number, since 6 + 8 + 8 + 0 + 91 + 8 + 79 + 466 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 585064361025 + 103027518441 = 764895^2 + 320979^2 .

It is a junction number, because it is equal to n+sod(n) for n = 688091879394 and 688091879403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4554805 + ... + 4703448.

Almost surely, 2688091879466 is an apocalyptic number.

688091879466 is an abundant number, since it is smaller than the sum of its proper divisors (803135092314).

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

688091879466 is a wasteful number, since it uses less digits than its factorization.

688091879466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9262390 (or 9262387 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 688091879466 in words is "six hundred eighty-eight billion, ninety-one million, eight hundred seventy-nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 4129 8258 12387 24774 37161 74322 9258253 18516506 27774759 55549518 83324277 166648554 38227326637 76454653274 114681979911 229363959822 344045939733 688091879466