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8187906961 = 1331167121661
BaseRepresentation
bin1111010000000100…
…11000101110010001
3210010121222202210101
413220002120232101
5113232101010321
63432251132401
7406622026603
oct75002305621
923117882711
108187906961
113521950763
121706144101
13a06454c80
1457961d173
1532dc66791
hex1e8098b91

8187906961 has 16 divisors (see below), whose sum is σ = 9156768768. Its totient is φ = 7270401600.

The previous prime is 8187906941. The next prime is 8187906997. The reversal of 8187906961 is 1696097818.

It is a cyclic number.

It is not a de Polignac number, because 8187906961 - 25 = 8187906929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8187906941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6471 + ... + 128131.

It is an arithmetic number, because the mean of its divisors is an integer number (572298048).

Almost surely, 28187906961 is an apocalyptic number.

It is an amenable number.

8187906961 is a deficient number, since it is larger than the sum of its proper divisors (968861807).

8187906961 is a wasteful number, since it uses less digits than its factorization.

8187906961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121872.

The product of its (nonzero) digits is 1306368, while the sum is 55.

The square root of 8187906961 is about 90487.0541072036. The cubic root of 8187906961 is about 2015.5378878334.

The spelling of 8187906961 in words is "eight billion, one hundred eighty-seven million, nine hundred six thousand, nine hundred sixty-one".

Divisors: 1 13 31 167 403 2171 5177 67301 121661 1581593 3771491 20317387 49029383 264126031 629838997 8187906961