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13125444511512 = 2335996537571847
BaseRepresentation
bin1011111100000000000101…
…1101010010011100011000
31201110210001210110222111110
42333000001131102130120
53210021402243332022
643525425043500320
72523165515351244
oct277000135223430
951423053428443
1013125444511512
114200519279a03
12157b9709876a0
13742954b28b18
143353bc49d424
1517b6525eb00c
hexbf001752718

13125444511512 has 128 divisors (see below), whose sum is σ = 32980058496000. Its totient is φ = 4353036000768.

The previous prime is 13125444511493. The next prime is 13125444511559. The reversal of 13125444511512 is 21511544452131.

It is a super-2 number, since 2×131254445115122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7106357773 + ... + 7106359619.

It is an arithmetic number, because the mean of its divisors is an integer number (257656707000).

Almost surely, 213125444511512 is an apocalyptic number.

13125444511512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13125444511512 is an abundant number, since it is smaller than the sum of its proper divisors (19854613984488).

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

13125444511512 is a wasteful number, since it uses less digits than its factorization.

13125444511512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3861 counting only the distinct ones).

The product of its digits is 96000, while the sum is 39.

Adding to 13125444511512 its reverse (21511544452131), we get a palindrome (34636988963643).

The spelling of 13125444511512 in words is "thirteen trillion, one hundred twenty-five billion, four hundred forty-four million, five hundred eleven thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 599 653 757 1198 1306 1514 1797 1847 1959 2271 2396 2612 3028 3594 3694 3918 4542 4792 5224 5541 6056 7188 7388 7836 9084 11082 14376 14776 15672 18168 22164 44328 391147 453443 494321 782294 906886 988642 1106353 1173441 1206091 1360329 1398179 1482963 1564588 1813772 1977284 2212706 2346882 2412182 2720658 2796358 2965926 3129176 3319059 3618273 3627544 3954568 4194537 4425412 4693764 4824364 5441316 5592716 5931852 6638118 7236546 8389074 8850824 9387528 9648728 10882632 11185432 11863704 13276236 14473092 16778148 26552472 28946184 33556296 296098279 592196558 722448509 837509221 888294837 913010887 1184393116 1444897018 1675018442 1776589674 1826021774 2167345527 2368786232 2512527663 2739032661 2889794036 3350036884 3553179348 3652043548 4334691054 5025055326 5478065322 5779588072 6700073768 7106358696 7304087096 8669382108 10050110652 10956130644 17338764216 20100221304 21912261288 546893521313 1093787042626 1640680563939 2187574085252 3281361127878 4375148170504 6562722255756 13125444511512