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12925331514 = 2341910314073
BaseRepresentation
bin11000000100110100…
…01110100000111010
31020100210021212120000
430002122032200322
5202432341102024
65534322413430
7635205335154
oct140232164072
936323255500
1012925331514
115533015967
122608801276
1312aca8a274
148a888dad4
15509b02cc9
hex30268e83a

12925331514 has 80 divisors (see below), whose sum is σ = 30523711680. Its totient is φ = 4076723520.

The previous prime is 12925331513. The next prime is 12925331519. The reversal of 12925331514 is 41513352921.

It is a happy number.

12925331514 is a `hidden beast` number, since 1 + 2 + 92 + 53 + 3 + 1 + 514 = 666.

It is a super-3 number, since 3×129253315143 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12925331513) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3171382 + ... + 3175454.

It is an arithmetic number, because the mean of its divisors is an integer number (381546396).

Almost surely, 212925331514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12925331514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15261855840).

12925331514 is an abundant number, since it is smaller than the sum of its proper divisors (17598380166).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12925331514 is a wasteful number, since it uses less digits than its factorization.

12925331514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5128 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 12925331514 in words is "twelve billion, nine hundred twenty-five million, three hundred thirty-one thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1031 1539 2062 3078 3093 4073 6186 8146 9279 12219 18558 19589 24438 27837 36657 39178 55674 58767 73314 77387 83511 109971 117534 154774 167022 176301 219942 232161 329913 352602 464322 528903 659826 696483 1057806 1392966 1586709 2089449 3173418 4178898 4199263 6268347 8398526 12536694 12597789 25195578 37793367 75586734 79785997 113380101 159571994 226760202 239357991 340140303 478715982 680280606 718073973 1436147946 2154221919 4308443838 6462665757 12925331514