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9996000401 = 293710192237
BaseRepresentation
bin10010100111100111…
…01101110010010001
3221210122020102201002
421103303231302101
5130432434003101
64331520551345
7502465413212
oct112363556221
927718212632
109996000401
11426a533062
121b2b782555
13c33c19b4a
146ab801409
153d786cd6b
hex253cedc91

9996000401 has 16 divisors (see below), whose sum is σ = 10725434640. Its totient is φ = 9297388800.

The previous prime is 9996000397. The next prime is 9996000403. The reversal of 9996000401 is 1040006999.

It is a Cunningham number, because it is equal to 999802+1.

It can be written as a sum of positive squares in 8 ways, for example, as 2127423376 + 7868577025 = 46124^2 + 88705^2 .

It is a cyclic number.

It is not a de Polignac number, because 9996000401 - 22 = 9996000397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9996000403) 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, 62255 + ... + 154491.

It is an arithmetic number, because the mean of its divisors is an integer number (670339665).

Almost surely, 29996000401 is an apocalyptic number.

It is an amenable number.

9996000401 is a deficient number, since it is larger than the sum of its proper divisors (729434239).

9996000401 is a wasteful number, since it uses less digits than its factorization.

9996000401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92404.

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 9996000401 is about 99980.0000050010. Note that the first 5 decimals coincide. The cubic root of 9996000401 is about 2154.1474225689.

The spelling of 9996000401 in words is "nine billion, nine hundred ninety-six million, four hundred one", and thus it is an aban number.

Divisors: 1 29 37 101 1073 2929 3737 92237 108373 2674873 3412769 9315937 98970301 270162173 344689669 9996000401