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13814896012215 = 3517232239428503
BaseRepresentation
bin1100100100001000011111…
…1110000010101110110111
31210220200122212010002112020
43021002013332002232313
53302320401334342330
645214250422124223
72624044000411434
oct311020776025667
953820585102466
1013814896012215
114446956710991
121671504880673
1379297ba721ac
1435a904862b8b
1518e55559c210
hexc9087f82bb7

13814896012215 has 96 divisors (see below), whose sum is σ = 24568293980160. Its totient is φ = 6605265773568.

The previous prime is 13814896012193. The next prime is 13814896012241. The reversal of 13814896012215 is 51221069841831.

It is not a de Polignac number, because 13814896012215 - 225 = 13814862457783 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32025654 + ... + 32454156.

It is an arithmetic number, because the mean of its divisors is an integer number (255919728960).

Almost surely, 213814896012215 is an apocalyptic number.

13814896012215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13814896012215 is a deficient number, since it is larger than the sum of its proper divisors (10753397967945).

13814896012215 is a wasteful number, since it uses less digits than its factorization.

13814896012215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428813 (or 428790 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 13814896012215 in words is "thirteen trillion, eight hundred fourteen billion, eight hundred ninety-six million, twelve thousand, two hundred fifteen".

Divisors: 1 3 5 15 17 23 51 69 85 115 239 255 345 391 529 717 1173 1195 1587 1955 2645 3585 4063 5497 5865 7935 8993 12189 16491 20315 26979 27485 44965 60945 82455 93449 126431 134895 280347 379293 428503 467245 632155 1285509 1401735 1896465 2142515 2149327 6427545 6447981 7284551 9855569 10746635 21853653 29566707 32239905 36422755 49277845 102412217 109268265 147833535 167544673 226678087 307236651 502634019 512061085 680034261 837723365 1133390435 1536183255 1741007689 2355480991 2513170095 3400171305 3853527479 5223023067 7066442973 8705038445 11560582437 11777404955 19267637395 26115115335 35332214865 40043176847 54176062793 57802912185 120129530541 162528188379 200215884235 270880313965 600647652705 812640941895 920993067481 2762979202443 4604965337405 13814896012215