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71985426601 = 112243912
BaseRepresentation
bin100001100001010101…
…0100111000010101001
320212210210021120011011
41003002222213002221
52134411232122401
653023013303521
75125603013254
oct1030252470251
9225723246134
1071985426601
112858a995500
1211b4b934ba1
136a3288b5aa
1436ac59a09b
151d14a95451
hex10c2aa70a9

71985426601 has 9 divisors (see below), whose sum is σ = 79127721309. Its totient is φ = 65438613900.

The previous prime is 71985426599. The next prime is 71985426607. The reversal of 71985426601 is 10662458917.

It is a happy number.

The square root of 71985426601 is 268301.

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

It is not a de Polignac number, because 71985426601 - 21 = 71985426599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71985426607) 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, 2939116 + ... + 2963506.

Almost surely, 271985426601 is an apocalyptic number.

71985426601 is the 268301-st square number.

71985426601 is the 134151-st centered octagonal number.

It is an amenable number.

71985426601 is a deficient number, since it is larger than the sum of its proper divisors (7142294708).

71985426601 is an frugal number, since it uses more digits than its factorization.

71985426601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48804 (or 24402 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 71985426601 by its sum of digits (49), we get a square (3527285903449 = 18781072).

The spelling of 71985426601 in words is "seventy-one billion, nine hundred eighty-five million, four hundred twenty-six thousand, six hundred one".

Divisors: 1 11 121 24391 268301 2951311 594920881 6544129691 71985426601