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11892993025 = 5217212832
BaseRepresentation
bin10110001001110000…
…01010110000000001
31010200211202122101011
423010320022300001
5143324101234100
65244044040521
7600501526024
oct130470126001
933624678334
1011892993025
115053314761
12237ab33141
131176c398a4
1480b7251bb
15499184bba
hex2c4e0ac01

11892993025 has 27 divisors (see below), whose sum is σ = 15678048841. Its totient is φ = 8947744640.

The previous prime is 11892993023. The next prime is 11892993071. The reversal of 11892993025 is 52039929811.

The square root of 11892993025 is 109055.

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 278189041 + 11614803984 = 16679^2 + 107772^2 .

It is not a de Polignac number, because 11892993025 - 21 = 11892993023 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11892993025.

It is not an unprimeable number, because it can be changed into a prime (11892993023) 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, 9269034 + ... + 9270316.

Almost surely, 211892993025 is an apocalyptic number.

11892993025 is the 109055-th square number.

11892993025 is the 54528-th centered octagonal number.

It is an amenable number.

11892993025 is a deficient number, since it is larger than the sum of its proper divisors (3785055816).

11892993025 is an frugal number, since it uses more digits than its factorization.

11892993025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 49.

Multiplying 11892993025 by its sum of digits (49), we get a square (582756658225 = 7633852).

The spelling of 11892993025 in words is "eleven billion, eight hundred ninety-two million, nine hundred ninety-three thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 1283 1445 6415 7225 21811 32075 109055 370787 545275 1646089 1853935 8230445 9269675 27983513 41152225 139917565 475719721 699587825 2378598605 11892993025