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16961155225 = 5272614
BaseRepresentation
bin11111100101111011…
…01011000010011001
31121210001101221220021
433302331223002121
5234214023431400
611443012230441
71140212304100
oct176275530231
947701357807
1016961155225
117214147a63
12335430b421
1317a3c42631
14b6c88b037
156940a271a
hex3f2f6b099

16961155225 has 45 divisors (see below), whose sum is σ = 24873361035. Its totient is φ = 11439842400.

The previous prime is 16961155217. The next prime is 16961155249. The reversal of 16961155225 is 52255116961.

It is a happy number.

The square root of 16961155225 is 130235.

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

It can be written as a sum of positive squares in 7 ways, for example, as 12104180361 + 4856974864 = 110019^2 + 69692^2 .

It is not a de Polignac number, because 16961155225 - 23 = 16961155217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 278051695 + ... + 278051755.

Almost surely, 216961155225 is an apocalyptic number.

16961155225 is the 130235-th square number.

16961155225 is the 65118-th centered octagonal number.

It is an amenable number.

16961155225 is a deficient number, since it is larger than the sum of its proper divisors (7912205810).

16961155225 is an frugal number, since it uses more digits than its factorization.

16961155225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 73 counting only the distinct ones).

The product of its digits is 162000, while the sum is 43.

The spelling of 16961155225 in words is "sixteen billion, nine hundred sixty-one million, one hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 61 175 245 305 427 1225 1525 2135 2989 3721 10675 14945 18605 26047 74725 93025 130235 182329 226981 651175 911645 1134905 1588867 4558225 5674525 7944335 11122069 13845841 39721675 55610345 69229205 96920887 278051725 346146025 484604435 678446209 2423022175 3392231045 16961155225