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687941470656 = 263411193172003
BaseRepresentation
bin10100000001011001000…
…00011100100111000000
32102202200211020122020000
422000230200130213000
542232401004030111
61244011433120000
7100462555006206
oct12005440344700
92382624218200
10687941470656
11245833031070
12b13b2259000
134cb4615198b
1425421a0d076
1512d65624c56
hexa02c81c9c0

687941470656 has 560 divisors, whose sum is σ = 2350310117760. Its totient is φ = 196773857280.

The previous prime is 687941470597. The next prime is 687941470669. The reversal of 687941470656 is 656074149786.

It is a happy number.

687941470656 is a `hidden beast` number, since 6 + 8 + 79 + 41 + 470 + 6 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 687941470593 and 687941470602.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 343454551 + ... + 343456553.

Almost surely, 2687941470656 is an apocalyptic number.

687941470656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687941470656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175155058880).

687941470656 is an abundant number, since it is smaller than the sum of its proper divisors (1662368647104).

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

687941470656 is a wasteful number, since it uses less digits than its factorization.

687941470656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 687941470656 in words is "six hundred eighty-seven billion, nine hundred forty-one million, four hundred seventy thousand, six hundred fifty-six".