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957198073225 = 5241924672
BaseRepresentation
bin11011110110111010111…
…00110111110110001001
310101111200210001021000211
431323131130313312021
5111140320201320400
62011421500401121
7126104155243342
oct15733534676611
93344623037024
10957198073225
11339a443a3899
121356178461a1
136c356893054
1434485ab30c9
1519d73cb3dba
hexdedd737d89

957198073225 has 27 divisors (see below), whose sum is σ = 1192318261927. Its totient is φ = 762295046480.

The previous prime is 957198073211. The next prime is 957198073241. The reversal of 957198073225 is 522370891759.

It is a happy number.

The square root of 957198073225 is 978365.

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., 344591306361 + 612606766864 = 587019^2 + 782692^2 .

It is a de Polignac number, because none of the positive numbers 2k-957198073225 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 957198073225.

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, 2049674442 + ... + 2049674908.

Almost surely, 2957198073225 is an apocalyptic number.

957198073225 is the 978365-th square number.

957198073225 is the 489183-rd centered octagonal number.

It is an amenable number.

957198073225 is a deficient number, since it is larger than the sum of its proper divisors (235120188702).

957198073225 is an frugal number, since it uses more digits than its factorization.

957198073225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 58.

The spelling of 957198073225 in words is "nine hundred fifty-seven billion, one hundred ninety-eight million, seventy-three thousand, two hundred twenty-five".

Divisors: 1 5 25 419 467 2095 2335 10475 11675 175561 195673 218089 877805 978365 1090445 4389025 4891825 5452225 81986987 91379291 409934935 456896455 2049674675 2284482275 38287922929 191439614645 957198073225