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680325236858736 = 24367347161314887
BaseRepresentation
bin1001101010110000001001000…
…0000100110001111101110000
310022012211110100111021111000000
42122230002100010301331300
51203132422041113434421
610410533033231430000
7263204606404154610
oct23254022004617560
93265743314244000
10680325236858736
11187855349189927
1264377709385300
132327c518ac5041
14bdddcba966a40
15539bc49b73226
hex26ac090131f70

680325236858736 has 560 divisors, whose sum is σ = 2266683990511104. Its totient is φ = 193685298633216.

The previous prime is 680325236858711. The next prime is 680325236858737. The reversal of 680325236858736 is 637858632523086.

680325236858736 is a `hidden beast` number, since 6 + 8 + 0 + 3 + 2 + 5 + 2 + 3 + 6 + 8 + 587 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680325236858737) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 45699276285 + ... + 45699291171.

Almost surely, 2680325236858736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680325236858736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133341995255552).

680325236858736 is an abundant number, since it is smaller than the sum of its proper divisors (1586358753652368).

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

680325236858736 is a wasteful number, since it uses less digits than its factorization.

680325236858736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16880 (or 16859 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 72.

The spelling of 680325236858736 in words is "six hundred eighty trillion, three hundred twenty-five billion, two hundred thirty-six million, eight hundred fifty-eight thousand, seven hundred thirty-six".