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152259942025 = 52780412
BaseRepresentation
bin1000110111001101100…
…1100101011010001001
3112120000020221110112001
42031303121211122021
54443312021121100
6153540334551001
714000100103342
oct2156331453211
9476006843461
10152259942025
115963384a034
1225613668461
131148683a569
1475259930c9
153e621dbd6a
hex2373665689

152259942025 has 9 divisors (see below), whose sum is σ = 188804747413. Its totient is φ = 121806392800.

The previous prime is 152259942013. The next prime is 152259942031. The reversal of 152259942025 is 520249952251.

The square root of 152259942025 is 390205.

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

152259942025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45197484409 + 107062457616 = 212597^2 + 327204^2 .

It is not a de Polignac number, because 152259942025 - 227 = 152125724297 is a prime.

It is a super-2 number, since 2×1522599420252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1912005 + ... + 1990045.

Almost surely, 2152259942025 is an apocalyptic number.

152259942025 is the 390205-th square number.

152259942025 is the 195103-rd centered octagonal number.

It is an amenable number.

152259942025 is a deficient number, since it is larger than the sum of its proper divisors (36544805388).

152259942025 is an frugal number, since it uses more digits than its factorization.

152259942025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156092 (or 78046 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 152259942025 in words is "one hundred fifty-two billion, two hundred fifty-nine million, nine hundred forty-two thousand, twenty-five".

Divisors: 1 5 25 78041 390205 1951025 6090397681 30451988405 152259942025