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125444510553552 = 24328374328194409
BaseRepresentation
bin11100100001011101010011…
…011111011001010111010000
3121110011101012121220221002220
4130201131103133121113100
5112420240324200203202
61122444225041141040
735265031625255121
oct3441352337312720
9543141177827086
10125444510553552
1136a7479996a813
121209bba092a780
1354cc49c511b08
1422d979223c048
15e7817622cabc
hex7217537d95d0

125444510553552 has 160 divisors (see below), whose sum is σ = 325837195084800. Its totient is φ = 41586806424576.

The previous prime is 125444510553533. The next prime is 125444510553617. The reversal of 125444510553552 is 255355015444521.

It is a junction number, because it is equal to n+sod(n) for n = 125444510553495 and 125444510553504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28451916724 + ... + 28451921132.

It is an arithmetic number, because the mean of its divisors is an integer number (2036482469280).

Almost surely, 2125444510553552 is an apocalyptic number.

125444510553552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125444510553552 is an abundant number, since it is smaller than the sum of its proper divisors (200392684531248).

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

125444510553552 is a wasteful number, since it uses less digits than its factorization.

125444510553552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8259 counting only the distinct ones).

The product of its (nonzero) digits is 12000000, while the sum is 51.

The spelling of 125444510553552 in words is "one hundred twenty-five trillion, four hundred forty-four billion, five hundred ten million, five hundred fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 283 566 743 849 1132 1486 1698 2229 2264 2819 2972 3396 4409 4458 4528 5638 5944 6792 8457 8818 8916 11276 11888 13227 13584 16914 17636 17832 22552 26454 33828 35272 35664 45104 52908 67656 70544 105816 135312 210269 211632 420538 630807 797777 841076 1247747 1261614 1595554 1682152 2094517 2393331 2495494 2523228 3191108 3275887 3364304 3743241 4189034 4786662 4990988 5046456 6283551 6382216 6551774 7486482 8378068 9573324 9827661 9981976 10092912 12428971 12567102 12764432 13103548 14972964 16756136 19146648 19655322 19963952 24857942 25134204 26207096 29945928 33512272 37286913 38293296 39310644 49715884 50268408 52414192 59891856 74573826 78621288 99431768 100536816 149147652 157242576 198863536 298295304 592748311 596590608 927076021 1185496622 1778244933 1854152042 2370993244 2781228063 3517398793 3556489866 3708304084 4741986488 5562456126 7034797586 7112979732 7416608168 9234725453 9483972976 10552196379 11124912252 14069595172 14225959464 14833216336 18469450906 21104392758 22249824504 27704176359 28139190344 28451918928 36938901812 42208785516 44499649008 55408352718 56278380688 73877803624 84417571032 110816705436 147755607248 168835142064 221633410872 443266821744 2613427303199 5226854606398 7840281909597 10453709212796 15680563819194 20907418425592 31361127638388 41814836851184 62722255276776 125444510553552