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172893798025 = 5213263972
BaseRepresentation
bin1010000100000101000…
…1011111111010001001
3121112021021011221201221
42201001101133322021
510313041303014100
6211232030042041
715330320015044
oct2410121377211
9545237157657
10172893798025
1167362050493
1229611949321
13133c4635c00
148522115c5b
15476d91201a
hex284145fe89

172893798025 has 27 divisors (see below), whose sum is σ = 232184583711. Its totient is φ = 127655461440.

The previous prime is 172893798013. The next prime is 172893798029. The reversal of 172893798025 is 520897398271.

The square root of 172893798025 is 415805.

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

It can be written as a sum of positive squares in 13 ways, for example, as 140982977529 + 31910820496 = 375477^2 + 178636^2 .

It is not a de Polignac number, because 172893798025 - 213 = 172893789833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172893798029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27024127 + ... + 27030523.

Almost surely, 2172893798025 is an apocalyptic number.

172893798025 is the 415805-th square number.

172893798025 is the 207903-rd centered octagonal number.

It is an amenable number.

172893798025 is a deficient number, since it is larger than the sum of its proper divisors (59290785686).

172893798025 is an frugal number, since it uses more digits than its factorization.

172893798025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12830 (or 6415 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 61.

The spelling of 172893798025 in words is "one hundred seventy-two billion, eight hundred ninety-three million, seven hundred ninety-eight thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 6397 31985 83161 159925 415805 1081093 2079025 5405465 27027325 40921609 204608045 531980917 1023040225 2659904585 6915751921 13299522925 34578759605 172893798025