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13774729312424 = 2373313228133037
BaseRepresentation
bin1100100001110010110111…
…0110001111100010101000
31210202211222120101022220102
43020130231312033202220
53301141121200444144
645144005010244532
72621122430165423
oct310345566174250
953684876338812
1013774729312424
114430914654923
121665774b86748
1378bc4a2c4802
143589b40a09ba
1518d4a4137b4e
hexc872dd8f8a8

13774729312424 has 64 divisors (see below), whose sum is σ = 26277377234640. Its totient is φ = 6768140820480.

The previous prime is 13774729312423. The next prime is 13774729312441. The reversal of 13774729312424 is 42421392747731.

13774729312424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 285401692900 + 13489327619524 = 534230^2 + 3672782^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13774729312424.

It is not an unprimeable number, because it can be changed into a prime (13774729312423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416932034 + ... + 416965070.

Almost surely, 213774729312424 is an apocalyptic number.

It is an amenable number.

13774729312424 is a deficient number, since it is larger than the sum of its proper divisors (12502647922216).

13774729312424 is a wasteful number, since it uses less digits than its factorization.

13774729312424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35710 (or 35706 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 56.

The spelling of 13774729312424 in words is "thirteen trillion, seven hundred seventy-four billion, seven hundred twenty-nine million, three hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 4 8 73 146 292 313 584 626 1252 2281 2504 4562 9124 18248 22849 33037 45698 66074 91396 132148 166513 182792 264296 333026 666052 713953 1332104 1427906 2411701 2855812 4823402 5711624 9646804 10340581 19293608 20681162 41362324 52118569 75357397 82724648 104237138 150714794 208474276 301429588 416948552 602859176 754862413 1509724826 3019449652 5501089981 6038899304 11002179962 22004359924 23586865261 44008719848 47173730522 94347461044 188694922088 1721841164053 3443682328106 6887364656212 13774729312424