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9200016961 = 194094632557
BaseRepresentation
bin10001001000101110…
…10001111001000001
3212202011110021200221
420210113101321001
5122320201020321
64120524143041
7443661565612
oct104427217101
925664407627
109200016961
1139a1195a03
121949097a81
13b38042225
14633bddc09
1538ca3ae41
hex2245d1e41

9200016961 has 16 divisors (see below), whose sum is σ = 9732678400. Its totient is φ = 8672323968.

The previous prime is 9200016907. The next prime is 9200016983. The reversal of 9200016961 is 1696100029.

It is a cyclic number.

It is not a de Polignac number, because 9200016961 - 211 = 9200014913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9200016901) 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, 3596695 + ... + 3599251.

It is an arithmetic number, because the mean of its divisors is an integer number (608292400).

Almost surely, 29200016961 is an apocalyptic number.

It is an amenable number.

9200016961 is a deficient number, since it is larger than the sum of its proper divisors (532661439).

9200016961 is a wasteful number, since it uses less digits than its factorization.

9200016961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448.

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 9200016961 is about 95916.7188815381. The cubic root of 9200016961 is about 2095.3803940137.

The spelling of 9200016961 in words is "nine billion, two hundred million, sixteen thousand, nine hundred sixty-one".

Divisors: 1 19 409 463 2557 7771 8797 48583 189367 1045813 1183891 3597973 19870447 22493929 484211419 9200016961