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687790376676 = 2232131469637557
BaseRepresentation
bin10100000001000111000…
…00000100011011100100
32102202022021221021020200
422000203200010123210
542232043314023201
61243544434430500
7100456041512034
oct12004340043344
92382267837220
10687790376676
11245765811a07
12b136b732430
134cb20a5bb60
142540991b8c4
1512d5722b386
hexa0238046e4

687790376676 has 36 divisors (see below), whose sum is σ = 1872318248892. Its totient is φ = 211627808064.

The previous prime is 687790376597. The next prime is 687790376687. The reversal of 687790376676 is 676673097786.

It can be written as a sum of positive squares in 2 ways, for example, as 99209880576 + 588580496100 = 314976^2 + 767190^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×6877903766762 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 734818311 + ... + 734819246.

It is an arithmetic number, because the mean of its divisors is an integer number (52008840247).

Almost surely, 2687790376676 is an apocalyptic number.

It is an amenable number.

687790376676 is an abundant number, since it is smaller than the sum of its proper divisors (1184527872216).

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

687790376676 is a wasteful number, since it uses less digits than its factorization.

687790376676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469637580 (or 1469637575 counting only the distinct ones).

The product of its (nonzero) digits is 672126336, while the sum is 72.

The spelling of 687790376676 in words is "six hundred eighty-seven billion, seven hundred ninety million, three hundred seventy-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1469637557 2939275114 4408912671 5878550228 8817825342 13226738013 17635650684 19105288241 26453476026 38210576482 52906952052 57315864723 76421152964 114631729446 171947594169 229263458892 343895188338 687790376676