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13957295881 = 3123721032
BaseRepresentation
bin11001111111110101…
…10110111100001001
31100000201010002112111
430333322312330021
5212041031432011
610224545142321
71002606025504
oct147772667411
940021102474
1013957295881
115a12590a81
12285632a9a1
131415809579
1496595c13b
1556a4ea121
hex33feb6f09

13957295881 has 27 divisors (see below), whose sum is σ = 14967678663. Its totient is φ = 13014412560.

The previous prime is 13957295843. The next prime is 13957295929. The reversal of 13957295881 is 18859275931.

It is a happy number.

The square root of 13957295881 is 118141.

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., 12489180025 + 1468115856 = 111755^2 + 38316^2 .

It is not a de Polignac number, because 13957295881 - 29 = 13957295369 is a prime.

It is a super-2 number, since 2×139572958812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13957295831) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 135507676 + ... + 135507778.

It is an arithmetic number, because the mean of its divisors is an integer number (554358469).

Almost surely, 213957295881 is an apocalyptic number.

13957295881 is the 118141-st square number.

13957295881 is the 59071-st centered octagonal number.

It is an amenable number.

13957295881 is a deficient number, since it is larger than the sum of its proper divisors (1010382782).

13957295881 is an frugal number, since it uses more digits than its factorization.

13957295881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 171 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 58.

The spelling of 13957295881 in words is "thirteen billion, nine hundred fifty-seven million, two hundred ninety-five thousand, eight hundred eighty-one".

Divisors: 1 31 37 103 961 1147 1369 3193 3811 10609 35557 42439 98983 118141 141007 328879 392533 1315609 3662371 4371217 10195249 12168523 14523721 135507727 377224213 450235351 13957295881