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13761386946016 = 253168320310931
BaseRepresentation
bin1100100001000001001010…
…0101001001110111100000
31210201120112201100220000121
43020100102211021313200
53300431310024233031
645133521025130024
72620140666016123
oct310202245116740
953646481326017
1013761386946016
114426198199526
121663070789914
1378a902010348
143580aa0943ba
1518ce72b09011
hexc8412949de0

13761386946016 has 48 divisors (see below), whose sum is σ = 28007637815808. Its totient is φ = 6648986044800.

The previous prime is 13761386945993. The next prime is 13761386946023. The reversal of 13761386946016 is 61064968316731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9477930 + ... + 10833001.

It is an arithmetic number, because the mean of its divisors is an integer number (583492454496).

Almost surely, 213761386946016 is an apocalyptic number.

13761386946016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13761386946016 is an abundant number, since it is smaller than the sum of its proper divisors (14246250869792).

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

13761386946016 is a wasteful number, since it uses less digits than its factorization.

13761386946016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20311655 (or 20311647 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 13761386946016 in words is "thirteen trillion, seven hundred sixty-one billion, three hundred eighty-six million, nine hundred forty-six thousand, sixteen".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 683 992 1366 2732 5464 10928 21173 21856 42346 84692 169384 338768 677536 20310931 40621862 81243724 162487448 324974896 629638861 649949792 1259277722 2518555444 5037110888 10074221776 13872365873 20148443552 27744731746 55489463492 110978926984 221957853968 430043342063 443915707936 860086684126 1720173368252 3440346736504 6880693473008 13761386946016