Search a number
-
+
29961879025 = 5213226632
BaseRepresentation
bin11011111001110111…
…011111110111110001
32212100002120011020011
4123321313133313301
5442330220112100
621433031014521
72110324524661
oct337167376761
985302504204
1029961879025
11117857771a1
12598220a441
132a96508900
1416433641a1
15ba55e8bba
hex6f9ddfdf1

29961879025 has 27 divisors (see below), whose sum is σ = 40245583809. Its totient is φ = 22117386720.

The previous prime is 29961879023. The next prime is 29961879071. The reversal of 29961879025 is 52097816992.

The square root of 29961879025 is 173095.

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 7722718641 + 22239160384 = 87879^2 + 149128^2 .

It is not a de Polignac number, because 29961879025 - 21 = 29961879023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29961879023) 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, 11249844 + ... + 11252506.

Almost surely, 229961879025 is an apocalyptic number.

29961879025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29961879025 is the 173095-th square number.

29961879025 is the 86548-th centered octagonal number.

It is an amenable number.

29961879025 is a deficient number, since it is larger than the sum of its proper divisors (10283704784).

29961879025 is an frugal number, since it uses more digits than its factorization.

29961879025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5362 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 58.

The spelling of 29961879025 in words is "twenty-nine billion, nine hundred sixty-one million, eight hundred seventy-nine thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 2663 4225 13315 34619 66575 173095 450047 865475 2250235 7091569 11251175 35457845 92190397 177289225 460951985 1198475161 2304759925 5992375805 29961879025