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12050540501415 = 35131073591608769
BaseRepresentation
bin1010111101011011110000…
…1011111001100110100111
31120200000112212221120222020
42233112330023321212213
53034414001332021130
641343535240234223
72352423425126103
oct257267413714647
946600485846866
1012050540501415
113926672a57639
12142758576b973
13695490425520
142d936c008903
1515d6dee7de10
hexaf5bc2f99a7

12050540501415 has 64 divisors (see below), whose sum is σ = 21016456473600. Its totient is φ = 5860754694144.

The previous prime is 12050540501399. The next prime is 12050540501477. The reversal of 12050540501415 is 51410504505021.

It is a happy number.

It is not a de Polignac number, because 12050540501415 - 24 = 12050540501399 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6686151 + ... + 8294919.

It is an arithmetic number, because the mean of its divisors is an integer number (328382132400).

Almost surely, 212050540501415 is an apocalyptic number.

12050540501415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12050540501415 is a deficient number, since it is larger than the sum of its proper divisors (8965915972185).

12050540501415 is a wasteful number, since it uses less digits than its factorization.

12050540501415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609256.

The product of its (nonzero) digits is 20000, while the sum is 33.

The spelling of 12050540501415 in words is "twelve trillion, fifty billion, five hundred forty million, five hundred one thousand, four hundred fifteen".

Divisors: 1 3 5 13 15 39 65 107 195 321 359 535 1077 1391 1605 1795 4173 4667 5385 6955 14001 20865 23335 38413 70005 115239 192065 499369 576195 1498107 1608769 2496845 4826307 7490535 8043845 20913997 24131535 62741991 104569985 172138283 313709955 516414849 577548071 860691415 1732644213 2237797679 2582074245 2887740355 6713393037 7508124923 8663221065 11188988395 22524374769 33566965185 37540624615 61797643597 112621873845 185392930791 308988217985 803369366761 926964653955 2410108100283 4016846833805 12050540501415