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13761657410514 = 2313217798332603
BaseRepresentation
bin1100100001000010001010…
…1100111001001111010010
31210201121020120021220120020
43020100202230321033102
53300432333244114024
645134003530124310
72620150461643266
oct310204254711722
953647216256506
1013761657410514
11442631692a502
121663127280696
1378a946069700
143580d3d7a0a6
1518ce8b731979
hexc8422b393d2

13761657410514 has 48 divisors (see below), whose sum is σ = 31556491170912. Its totient is φ = 3985276349184.

The previous prime is 13761657410509. The next prime is 13761657410537. The reversal of 13761657410514 is 41501475616731.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 23 ways as a sum of consecutive naturals, for example, 399149064 + ... + 399183539.

It is an arithmetic number, because the mean of its divisors is an integer number (657426899394).

Almost surely, 213761657410514 is an apocalyptic number.

13761657410514 is an abundant number, since it is smaller than the sum of its proper divisors (17794833760398).

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

13761657410514 is a wasteful number, since it uses less digits than its factorization.

13761657410514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798332651 (or 798332638 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 13761657410514 in words is "thirteen trillion, seven hundred sixty-one billion, six hundred fifty-seven million, four hundred ten thousand, five hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 442 507 663 1014 1326 2873 5746 8619 17238 798332603 1596665206 2394997809 4789995618 10378323839 13571654251 20756647678 27143308502 31134971517 40714962753 62269943034 81429925506 134918209907 176431505263 269836419814 352863010526 404754629721 529294515789 809509259442 1058589031578 2293609568419 4587219136838 6880828705257 13761657410514