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125396016769 = 312114232
BaseRepresentation
bin111010011001000101…
…1110101111010000001
3102222200001201122221101
41310302023311322001
54023302340014034
6133334531454401
712026300361502
oct1646213657201
9388601648841
10125396016769
11491a8867411
1220376a57401
13ba950c14ba
1460d7c52ba9
1533dda85514
hex1d322f5e81

125396016769 has 9 divisors (see below), whose sum is σ = 129582878529. Its totient is φ = 121340360580.

The previous prime is 125396016761. The next prime is 125396016799. The reversal of 125396016769 is 967610693521.

The square root of 125396016769 is 354113.

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

It is not a de Polignac number, because 125396016769 - 23 = 125396016761 is a prime.

It is a super-2 number, since 2×1253960167692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125396016761) by changing a digit.

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, 10971792 + ... + 10983214.

Almost surely, 2125396016769 is an apocalyptic number.

125396016769 is the 354113-rd square number.

125396016769 is the 177057-th centered octagonal number.

It is an amenable number.

125396016769 is a deficient number, since it is larger than the sum of its proper divisors (4186861760).

125396016769 is an frugal number, since it uses more digits than its factorization.

125396016769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22908 (or 11454 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 55.

The spelling of 125396016769 in words is "one hundred twenty-five billion, three hundred ninety-six million, sixteen thousand, seven hundred sixty-nine".

Divisors: 1 31 961 11423 354113 10977503 130484929 4045032799 125396016769