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633768961 = 71311933581
BaseRepresentation
bin100101110001101…
…000110000000001
31122011112210120111
4211301220300001
52244221101321
6142515511321
721463642630
oct4561506001
91564483514
10633768961
112a5823001
121582b8541
13a13c0227
1460257517
153a98d5e1
hex25c68c01

633768961 has 16 divisors (see below), whose sum is σ = 733822848. Its totient is φ = 536140800.

The previous prime is 633768943. The next prime is 633768977. The reversal of 633768961 is 169867336.

It is a cyclic number.

It is not a de Polignac number, because 633768961 - 213 = 633760769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (633768931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175191 + ... + 178771.

It is an arithmetic number, because the mean of its divisors is an integer number (45863928).

Almost surely, 2633768961 is an apocalyptic number.

It is an amenable number.

633768961 is a deficient number, since it is larger than the sum of its proper divisors (100053887).

633768961 is a wasteful number, since it uses less digits than its factorization.

633768961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912.

The product of its digits is 979776, while the sum is 49.

The square root of 633768961 is about 25174.7683405429. The cubic root of 633768961 is about 858.9680072001.

The spelling of 633768961 in words is "six hundred thirty-three million, seven hundred sixty-eight thousand, nine hundred sixty-one".

Divisors: 1 7 131 193 917 1351 3581 25067 25283 176981 469111 691133 3283777 4837931 90538423 633768961