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685044670464 = 21333711192973
BaseRepresentation
bin10011111011111111101…
…10000010000000000000
32102111012221101221102000
421331333312002000000
542210432413423324
61242412152424000
7100331021423460
oct11757766020000
92374187357360
10685044670464
11244586948220
12b09240a8000
134c7a3c6151b
1425228dcbba0
1512c461689c9
hex9f7fd82000

685044670464 has 1792 divisors, whose sum is σ = 2793235968000. Its totient is φ = 160526499840.

The previous prime is 685044670441. The next prime is 685044670469. The reversal of 685044670464 is 464076440586.

It is a happy number.

685044670464 is a `hidden beast` number, since 6 + 8 + 504 + 4 + 6 + 70 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×6850446704642 (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).

It is a self number, because there is not a number n which added to its sum of digits gives 685044670464.

It is not an unprimeable number, because it can be changed into a prime (685044670469) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9384173532 + ... + 9384173604.

Almost surely, 2685044670464 is an apocalyptic number.

685044670464 is a gapful number since it is divisible by the number (64) 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 685044670464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396617984000).

685044670464 is an abundant number, since it is smaller than the sum of its proper divisors (2108191297536).

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

685044670464 is a wasteful number, since it uses less digits than its factorization.

685044670464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 685044670464 in words is "six hundred eighty-five billion, forty-four million, six hundred seventy thousand, four hundred sixty-four".