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31398068025 = 3252118132
BaseRepresentation
bin11101001111011110…
…000111111100111001
310000001012000010011100
4131033132013330321
51003300401134100
622231333322013
72161034113632
oct351736077471
9100035003140
1031398068025
1112352433255
126103196309
132c64c1839c
14173bdb6889
15c3b73b400
hex74f787f39

31398068025 has 27 divisors (see below), whose sum is σ = 56242189549. Its totient is φ = 16744218720.

The previous prime is 31398068003. The next prime is 31398068041. The reversal of 31398068025 is 52086089313.

It is a happy number.

The square root of 31398068025 is 177195.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1935032121 + 29463035904 = 43989^2 + 171648^2 .

It is not a de Polignac number, because 31398068025 - 211 = 31398065977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2652019 + ... + 2663831.

Almost surely, 231398068025 is an apocalyptic number.

31398068025 is the 177195-th square number.

31398068025 is the 88598-th centered octagonal number.

It is an amenable number.

31398068025 is a deficient number, since it is larger than the sum of its proper divisors (24844121524).

31398068025 is an frugal number, since it uses more digits than its factorization.

31398068025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23642 (or 11821 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 31398068025 in words is "thirty-one billion, three hundred ninety-eight million, sixty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 11813 35439 59065 106317 177195 295325 531585 885975 2657925 139546969 418640907 697734845 1255922721 2093204535 3488674225 6279613605 10466022675 31398068025