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20962696225 = 5223212592
BaseRepresentation
bin10011100001011110…
…010101110000100001
32000002221000022012111
4103201132111300201
5320412422234400
613344035155321
71341321656302
oct234136256041
960087008174
1020962696225
118987993a39
124090445b41
131c90c83583
14102c0c27a9
1582a52e3ba
hex4e1795c21

20962696225 has 27 divisors (see below), whose sum is σ = 27194643763. Its totient is φ = 16028278640.

The previous prime is 20962696199. The next prime is 20962696229. The reversal of 20962696225 is 52269626902.

The square root of 20962696225 is 144785.

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

It can be written as a sum of positive squares in only one way, i.e., 7546570641 + 13416125584 = 86871^2 + 115828^2 .

It is not a de Polignac number, because 20962696225 - 211 = 20962694177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20962696229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16649646 + ... + 16650904.

Almost surely, 220962696225 is an apocalyptic number.

20962696225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20962696225 is the 144785-th square number.

20962696225 is the 72393-rd centered octagonal number.

It is an amenable number.

20962696225 is a deficient number, since it is larger than the sum of its proper divisors (6231947538).

20962696225 is an frugal number, since it uses more digits than its factorization.

20962696225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

Multiplying 20962696225 by its sum of digits (49), we get a square (1027172115025 = 10134952).

The spelling of 20962696225 in words is "twenty billion, nine hundred sixty-two million, six hundred ninety-six thousand, two hundred twenty-five".

Divisors: 1 5 23 25 115 529 575 1259 2645 6295 13225 28957 31475 144785 666011 723925 1585081 3330055 7925405 16650275 36456863 39627025 182284315 838507849 911421575 4192539245 20962696225