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12146512645014 = 23112337271086469
BaseRepresentation
bin1011000011000001010010…
…0100100100101110010110
31121000012021100110121222020
42300300110210210232112
53043002024214120024
641500010400314010
72362361622651036
oct260602444445626
947005240417866
1012146512645014
1139633418025a0
1214420aa612906
136a154660c187
142ddc741438c6
15160e5a78e979
hexb0c14924b96

12146512645014 has 64 divisors (see below), whose sum is σ = 26651856591360. Its totient is φ = 3659919563520.

The previous prime is 12146512645013. The next prime is 12146512645027. The reversal of 12146512645014 is 41054621564121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12146512645013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10636572 + ... + 11723040.

It is an arithmetic number, because the mean of its divisors is an integer number (416435259240).

Almost surely, 212146512645014 is an apocalyptic number.

12146512645014 is an abundant number, since it is smaller than the sum of its proper divisors (14505343946346).

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

12146512645014 is a wasteful number, since it uses less digits than its factorization.

12146512645014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087445.

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 12146512645014 in words is "twelve trillion, one hundred forty-six billion, five hundred twelve million, six hundred forty-five thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 233 466 699 727 1398 1454 2181 2563 4362 5126 7689 7997 15378 15994 23991 47982 169391 338782 508173 1016346 1086469 1863301 2172938 3259407 3726602 5589903 6518814 11179806 11951159 23902318 35853477 71706954 253147277 506294554 759441831 789862963 1518883662 1579725926 2369588889 2784620047 4739177778 5569240094 8353860141 8688492593 16707720282 17376985186 26065477779 52130955558 184038070379 368076140758 552114211137 1104228422274 2024418774169 4048837548338 6073256322507 12146512645014