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12998137256244 = 223476091940913
BaseRepresentation
bin1011110100100101110101…
…0110101001100100110100
31201000121110112102100020000
42331021131112221210310
53200430141114144434
643351132315311300
72511040646501520
oct275113526514464
951017415370200
1012998137256244
11416152a690848
12155b161a4b530
13733946a9a58a
1432d182898d80
151781a0d87b99
hexbd25d5a9934

12998137256244 has 120 divisors (see below), whose sum is σ = 38840357844288. Its totient is φ = 3713139843840.

The previous prime is 12998137256243. The next prime is 12998137256353. The reversal of 12998137256244 is 44265273189921.

It is a happy number.

12998137256244 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 8 + 137 + 256 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12998137256243) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 13343932 + ... + 14284844.

Almost surely, 212998137256244 is an apocalyptic number.

12998137256244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12998137256244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19420178922144).

12998137256244 is an abundant number, since it is smaller than the sum of its proper divisors (25842220588044).

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

12998137256244 is a wasteful number, since it uses less digits than its factorization.

12998137256244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947027 (or 947016 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 12998137256244 in words is "twelve trillion, nine hundred ninety-eight billion, one hundred thirty-seven million, two hundred fifty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 6091 12182 18273 24364 36546 42637 54819 73092 85274 109638 127911 164457 170548 219276 255822 328914 383733 493371 511644 657828 767466 940913 986742 1151199 1534932 1881826 1973484 2302398 2822739 3453597 3763652 4604796 5645478 6586391 6907194 8468217 11290956 13172782 13814388 16936434 19759173 25404651 26345564 33872868 39518346 50809302 59277519 76213953 79036692 101618604 118555038 152427906 177832557 237110076 304855812 355665114 533497671 711330228 1066995342 2133990684 5731101083 11462202166 17193303249 22924404332 34386606498 40117707581 51579909747 68773212996 80235415162 103159819494 120353122743 154739729241 160470830324 206319638988 240706245486 309479458482 361059368229 464219187723 481412490972 618958916964 722118736458 928438375446 1083178104687 1444237472916 1856876750892 2166356209374 3249534314061 4332712418748 6499068628122 12998137256244