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19893692025 = 325294032
BaseRepresentation
bin10010100001110000…
…011010011001111001
31220100102111021010100
4102201300122121321
5311220241121100
613050010510013
71302661410054
oct224160323171
956312437110
1019893692025
11848951a299
123a32435309
131b50665bcc
14d6a131a9b
157b676c400
hex4a1c1a679

19893692025 has 27 divisors (see below), whose sum is σ = 35635602639. Its totient is φ = 10608840720.

The previous prime is 19893691949. The next prime is 19893692033. The reversal of 19893692025 is 52029639891.

It is a happy number.

The square root of 19893692025 is 141045.

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., 7161729129 + 12731962896 = 84627^2 + 112836^2 .

It is not a de Polignac number, because 19893692025 - 27 = 19893691897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2110974 + ... + 2120376.

Almost surely, 219893692025 is an apocalyptic number.

19893692025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19893692025 is the 141045-th square number.

19893692025 is the 70523-rd centered octagonal number.

It is an amenable number.

19893692025 is a deficient number, since it is larger than the sum of its proper divisors (15741910614).

19893692025 is an frugal number, since it uses more digits than its factorization.

19893692025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18822 (or 9411 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 19893692025 in words is "nineteen billion, eight hundred ninety-three million, six hundred ninety-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 9403 28209 47015 84627 141045 235075 423135 705225 2115675 88416409 265249227 442082045 795747681 1326246135 2210410225 3978738405 6631230675 19893692025