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681107287608 = 2332112891098059
BaseRepresentation
bin10011110100101010010…
…10000110111000111000
32102010001112112011112100
421322111022012320320
542124401431200413
61240521340543400
7100131321264246
oct11722512067070
92363045464470
10681107287608
11242946342200
12b0005551b60
134c2c72c5097
1424d740d7796
1512ab5661a73
hex9e95286e38

681107287608 has 288 divisors, whose sum is σ = 2069457390000. Its totient is φ = 202179732480.

The previous prime is 681107287607. The next prime is 681107287621. The reversal of 681107287608 is 806782701186.

It is a happy number.

681107287608 is a `hidden beast` number, since 6 + 8 + 1 + 1 + 0 + 7 + 28 + 7 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681107287607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84511083 + ... + 84519141.

Almost surely, 2681107287608 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 681107287608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034728695000).

681107287608 is an abundant number, since it is smaller than the sum of its proper divisors (1388350102392).

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

681107287608 is a wasteful number, since it uses less digits than its factorization.

681107287608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 681107287608 in words is "six hundred eighty-one billion, one hundred seven million, two hundred eighty-seven thousand, six hundred eight".