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13614295236064 = 2529251420113913
BaseRepresentation
bin1100011000011101001100…
…1110110011110111100000
31210012111212122100211002021
43012013103032303313200
53241024034040023224
644542153151231224
72603412633063445
oct306072316636740
953174778324067
1013614295236064
114379876811776
12163a65bb18514
13779a90145093
14350d14a759cc
151892145051e4
hexc61d33b3de0

13614295236064 has 96 divisors (see below), whose sum is σ = 27846485583840. Its totient is φ = 6544204800000.

The previous prime is 13614295236043. The next prime is 13614295236173. The reversal of 13614295236064 is 46063259241631.

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 15 ways as a sum of consecutive naturals, for example, 978523572 + ... + 978537484.

It is an arithmetic number, because the mean of its divisors is an integer number (290067558165).

Almost surely, 213614295236064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13614295236064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13923242791920).

13614295236064 is an abundant number, since it is smaller than the sum of its proper divisors (14232190347776).

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

13614295236064 is a wasteful number, since it uses less digits than its factorization.

13614295236064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18404 (or 18396 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 52.

The spelling of 13614295236064 in words is "thirteen trillion, six hundred fourteen billion, two hundred ninety-five million, two hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 251 464 502 928 1004 2008 4016 4201 7279 8032 8402 13913 14558 16804 27826 29116 33608 55652 58232 67216 111304 116464 121829 134432 222608 232928 243658 403477 445216 487316 806954 974632 1054451 1613908 1949264 2108902 3227816 3492163 3898528 4217804 6455632 6984326 8435608 12911264 13968652 16871216 27937304 30579079 33742432 55874608 58448513 61158158 101272727 111749216 116897026 122316316 202545454 233794052 244632632 405090908 467588104 489265264 810181816 935176208 978530528 1620363632 1695006877 1870352416 3240727264 3390013754 6780027508 13560055016 14670576763 27120110032 29341153526 54240220064 58682307052 117364614104 234729228208 425446726127 469458456416 850893452254 1701786904508 3403573809016 6807147618032 13614295236064