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9977013225 = 325266592
BaseRepresentation
bin10010100101010110…
…10010001111101001
3221202022111210012100
421102223102033221
5130413103410400
64330002004013
7502145133054
oct112253221751
927668453170
109977013225
11425a844783
121b25346609
13c2cccc72a
146a909ba9b
153d5d6c100
hex252ad23e9

9977013225 has 27 divisors (see below), whose sum is σ = 17872623223. Its totient is φ = 5320274640.

The previous prime is 9977013203. The next prime is 9977013229. The reversal of 9977013225 is 5223107799.

The square root of 9977013225 is 99885.

It is a perfect power (a square), and thus also a powerful number.

9977013225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3591724761 + 6385288464 = 59931^2 + 79908^2 .

It is not a de Polignac number, because 9977013225 - 231 = 7829529577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9977013229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1494946 + ... + 1501604.

Almost surely, 29977013225 is an apocalyptic number.

9977013225 is the 99885-th square number.

9977013225 is the 49943-rd centered octagonal number.

It is an amenable number.

9977013225 is a deficient number, since it is larger than the sum of its proper divisors (7895609998).

9977013225 is an frugal number, since it uses more digits than its factorization.

9977013225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The cubic root of 9977013225 is about 2152.7826400254.

The spelling of 9977013225 in words is "nine billion, nine hundred seventy-seven million, thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 6659 19977 33295 59931 99885 166475 299655 499425 1498275 44342281 133026843 221711405 399080529 665134215 1108557025 1995402645 3325671075 9977013225