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125271399969 = 321179792
BaseRepresentation
bin111010010101011000…
…0011101111000100001
3102222100101020110211100
41310222300131320201
54023023434244334
6133314320505013
712023225221302
oct1645260357041
9388311213740
10125271399969
1149144491a21
122034117b169
13ba7533c051
1460c54947a9
1533d2b6bc99
hex1d2ac1de21

125271399969 has 9 divisors (see below), whose sum is σ = 180949111473. Its totient is φ = 83513558772.

The previous prime is 125271399899. The next prime is 125271399971. The reversal of 125271399969 is 969993172521.

The square root of 125271399969 is 353937.

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

125271399969 is a `hidden beast` number, since 1 + 2 + 527 + 13 + 9 + 9 + 96 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 125271399969 - 217 = 125271268897 is a prime.

It is a super-2 number, since 2×1252713999692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125271399269) 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, 1002822 + ... + 1120800.

Almost surely, 2125271399969 is an apocalyptic number.

125271399969 is the 353937-th square number.

125271399969 is the 176969-th centered octagonal number.

It is an amenable number.

125271399969 is a deficient number, since it is larger than the sum of its proper divisors (55677711504).

125271399969 is an frugal number, since it uses more digits than its factorization.

125271399969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235964 (or 117982 counting only the distinct ones).

The product of its digits is 16533720, while the sum is 63.

The spelling of 125271399969 in words is "one hundred twenty-five billion, two hundred seventy-one million, three hundred ninety-nine thousand, nine hundred sixty-nine".

Divisors: 1 3 9 117979 353937 1061811 13919044441 41757133323 125271399969