Search a number
-
+
253968626209 = 232219112
BaseRepresentation
bin1110110010000110110…
…1011011001000100001
3220021112111202221211011
43230201231123020201
513130111432014314
6312401021020521
724230402463364
oct3544155331041
9807474687734
10253968626209
1198786739921
12412796b4741
131ac4534721c
14c41391a0db
1569164434c4
hex3b21b5b221

253968626209 has 9 divisors (see below), whose sum is σ = 265502949649. Its totient is φ = 242915425060.

The previous prime is 253968626189. The next prime is 253968626227. The reversal of 253968626209 is 902626869352.

The square root of 253968626209 is 503953.

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

It is not a de Polignac number, because 253968626209 - 231 = 251821142561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253968626279) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11579964 + ... + 11601874.

Almost surely, 2253968626209 is an apocalyptic number.

253968626209 is the 503953-rd square number.

253968626209 is the 251977-th centered octagonal number.

It is an amenable number.

253968626209 is a deficient number, since it is larger than the sum of its proper divisors (11534323440).

253968626209 is an frugal number, since it uses more digits than its factorization.

253968626209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43868 (or 21934 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 253968626209 in words is "two hundred fifty-three billion, nine hundred sixty-eight million, six hundred twenty-six thousand, two hundred nine".

Divisors: 1 23 529 21911 503953 11590919 480091921 11042114183 253968626209