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12933216977364 = 22321811984839929
BaseRepresentation
bin1011110000110011111111…
…0011011100000111010100
31200210101220010110110201200
42330030333303130013110
53143344212021233424
643301234324352500
72503252113311445
oct274147763340724
950711803413650
1012933216977364
114136a458a7402
12154a664245730
1372a79bb74c88
14329d847772cc
151766516c98c9
hexbc33fcdc1d4

12933216977364 has 36 divisors (see below), whose sum is σ = 32872918920660. Its totient is φ = 4287254244480.

The previous prime is 12933216977363. The next prime is 12933216977381. The reversal of 12933216977364 is 46377961233921.

12933216977364 is a `hidden beast` number, since 1 + 29 + 33 + 216 + 9 + 7 + 7 + 364 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3614911269264 + 9318305708100 = 1901292^2 + 3052590^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12933216977363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 992413449 + ... + 992426480.

It is an arithmetic number, because the mean of its divisors is an integer number (913136636685).

Almost surely, 212933216977364 is an apocalyptic number.

It is an amenable number.

12933216977364 is an abundant number, since it is smaller than the sum of its proper divisors (19939701943296).

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

12933216977364 is a wasteful number, since it uses less digits than its factorization.

12933216977364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984840120 (or 1984840115 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 63.

The spelling of 12933216977364 in words is "twelve trillion, nine hundred thirty-three billion, two hundred sixteen million, nine hundred seventy-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 1984839929 3969679858 5954519787 7939359716 11909039574 17863559361 23818079148 35727118722 71454237444 359256027149 718512054298 1077768081447 1437024108596 2155536162894 3233304244341 4311072325788 6466608488682 12933216977364