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130881694687056 = 243212976841102437
BaseRepresentation
bin11101110000100101000100…
…111010110101111101010000
3122011102011112100010010100200
4131300211010322311331100
5114123331202314441211
61142210115343015200
736365614255661625
oct3560450472657520
9564364470103320
10130881694687056
1138780684632515
12128198ba89a500
1358051247a2871
1424469ca3a034c
15101e7eea0db56
hex770944eb5f50

130881694687056 has 120 divisors (see below), whose sum is σ = 366626539102824. Its totient is φ = 43586796625920.

The previous prime is 130881694687049. The next prime is 130881694687193. The reversal of 130881694687056 is 650786496188031.

130881694687056 is a `hidden beast` number, since 1 + 3 + 0 + 88 + 16 + 9 + 468 + 70 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 114135462896400 + 16746231790656 = 10683420^2 + 4092216^2 .

It is a super-3 number, since 3×1308816946870563 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1277628670 + ... + 1277731106.

Almost surely, 2130881694687056 is an apocalyptic number.

130881694687056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130881694687056 is an abundant number, since it is smaller than the sum of its proper divisors (235744844415768).

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

130881694687056 is a wasteful number, since it uses less digits than its factorization.

130881694687056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110589 (or 110580 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 130881694687056 in words is "one hundred thirty trillion, eight hundred eighty-one billion, six hundred ninety-four million, six hundred eighty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1297 2594 3891 5188 6841 7782 10376 11673 13682 15564 20523 20752 23346 27364 31128 41046 46692 54728 61569 62256 82092 93384 102437 109456 123138 164184 186768 204874 246276 307311 328368 409748 492552 614622 819496 921933 985104 1229244 1638992 1843866 2458488 3687732 4916976 7375464 8872777 14750928 17745554 26618331 35491108 53236662 70982216 79854993 106473324 132860789 141964432 159709986 212946648 265721578 319419972 398582367 425893296 531443156 638839944 700771517 797164734 1062886312 1195747101 1277679888 1401543034 1594329468 2102314551 2125772624 2391494202 2803086068 3188658936 4204629102 4782988404 5606172136 6306943653 6377317872 8409258204 9565976808 11212344272 12613887306 16818516408 19131953616 25227774612 33637032816 50455549224 100911098448 908900657549 1817801315098 2726701972647 3635602630196 5453403945294 7271205260392 8180105917941 10906807890588 14542410520784 16360211835882 21813615781176 32720423671764 43627231562352 65440847343528 130881694687056