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685952040960 = 2153251572963
BaseRepresentation
bin10011111101101011110…
…11011000000000000000
32102120120011210010201200
421332311323120000000
542214312210302320
61243042204501200
7100362350100504
oct11766573300000
92376504703650
10685952040960
11244a0205409a
12b0b37b4a800
134c8b9c38944
14252b3706304
1512c9ab4e290
hex9fb5ed8000

685952040960 has 384 divisors, whose sum is σ = 2393884499760. Its totient is φ = 181694103552.

The previous prime is 685952040919. The next prime is 685952040979. The reversal of 685952040960 is 69040259586.

It is a happy number.

685952040960 is a `hidden beast` number, since 6 + 8 + 59 + 520 + 4 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 685952040897 and 685952040906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231504439 + ... + 231507401.

Almost surely, 2685952040960 is an apocalyptic number.

685952040960 is a gapful number since it is divisible by the number (60) 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 685952040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196942249880).

685952040960 is an abundant number, since it is smaller than the sum of its proper divisors (1707932458800).

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

685952040960 is a wasteful number, since it uses less digits than its factorization.

685952040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 685952040960 in words is "six hundred eighty-five billion, nine hundred fifty-two million, forty thousand, nine hundred sixty".