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11993165503225 = 52571212132
BaseRepresentation
bin1010111010000110000001…
…0111101001101011111001
31120110112110022202200202021
42232201200113221223321
53032444000332100400
641301330103034441
72345322551522644
oct256414027515371
946415408680667
1011993165503225
1139043002a1265
121418432a3ba21
1368cc4878325a
142d6688024a5b
1515be82de971a
hexae8605e9af9

11993165503225 has 27 divisors (see below), whose sum is σ = 14909907292749. Its totient is φ = 9569833466400.

The previous prime is 11993165503181. The next prime is 11993165503243. The reversal of 11993165503225 is 52230556139911.

It is a happy number.

The square root of 11993165503225 is 3463115.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5261091801849 + 6732073701376 = 2293707^2 + 2594624^2 .

It is not a de Polignac number, because 11993165503225 - 27 = 11993165503097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9887192719 + ... + 9887193931.

Almost surely, 211993165503225 is an apocalyptic number.

11993165503225 is the 3463115-th square number.

11993165503225 is the 1731558-th centered octagonal number.

It is an amenable number.

11993165503225 is a deficient number, since it is larger than the sum of its proper divisors (2916741789524).

11993165503225 is an frugal number, since it uses more digits than its factorization.

11993165503225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 52.

The spelling of 11993165503225 in words is "eleven trillion, nine hundred ninety-three billion, one hundred sixty-five million, five hundred three thousand, two hundred twenty-five".

Divisors: 1 5 25 571 1213 2855 6065 14275 30325 326041 692623 1471369 1630205 3463115 7356845 8151025 17315575 36784225 395487733 840151699 1977438665 4200758495 9887193325 21003792475 479726620129 2398633100645 11993165503225