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12975459444 = 22332912732621
BaseRepresentation
bin11000001010110010…
…11100110001110100
31020111021121122011000
430011121130301310
5203033204200234
65543313043300
7636354404553
oct140531346164
936437548130
1012975459444
115559343802
122621556530
1312ba28b96c
148b13bbd9a
1550e205899
hex30565cc74

12975459444 has 96 divisors (see below), whose sum is σ = 35075174400. Its totient is φ = 4143000960.

The previous prime is 12975459443. The next prime is 12975459451. The reversal of 12975459444 is 44495457921.

12975459444 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 5 + 4 + 594 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12975459443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381454 + ... + 414074.

It is an arithmetic number, because the mean of its divisors is an integer number (365366400).

Almost surely, 212975459444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12975459444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17537587200).

12975459444 is an abundant number, since it is smaller than the sum of its proper divisors (22099714956).

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

12975459444 is a wasteful number, since it uses less digits than its factorization.

12975459444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32790 (or 32782 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 12975459444 in words is "twelve billion, nine hundred seventy-five million, four hundred fifty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 127 174 254 261 348 381 508 522 762 783 1044 1143 1524 1566 2286 3132 3429 3683 4572 6858 7366 11049 13716 14732 22098 32621 33147 44196 65242 66294 97863 99441 130484 132588 195726 198882 293589 391452 397764 587178 880767 946009 1174356 1761534 1892018 2838027 3523068 3784036 4142867 5676054 8285734 8514081 11352108 12428601 16571468 17028162 24857202 25542243 34056324 37285803 49714404 51084486 74571606 102168972 111857409 120143143 149143212 223714818 240286286 360429429 447429636 480572572 720858858 1081288287 1441717716 2162576574 3243864861 4325153148 6487729722 12975459444