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12933041342804 = 221117592843103079
BaseRepresentation
bin1011110000110011010101…
…0101011100100101010100
31200210101102212222022101222
42330030311111130211110
53143343332040432204
643301205052105512
72503244551404362
oct274146525344524
950711385868358
1012933041342804
114136965746580
12154a615465298
1372a77166c0bb
14329d692d8632
15176641084abe
hexbc33555c954

12933041342804 has 96 divisors (see below), whose sum is σ = 26595431654400. Its totient is φ = 5437108866560.

The previous prime is 12933041342783. The next prime is 12933041342833. The reversal of 12933041342804 is 40824314033921.

It is a happy number.

12933041342804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125415737 + ... + 125518815.

It is an arithmetic number, because the mean of its divisors is an integer number (277035746400).

Almost surely, 212933041342804 is an apocalyptic number.

It is an amenable number.

12933041342804 is an abundant number, since it is smaller than the sum of its proper divisors (13662390311596).

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

12933041342804 is a wasteful number, since it uses less digits than its factorization.

12933041342804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106013 (or 106011 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 12933041342804 in words is "twelve trillion, nine hundred thirty-three billion, forty-one million, three hundred forty-two thousand, eight hundred four".

Divisors: 1 2 4 11 17 22 34 44 59 68 118 187 236 374 649 748 1003 1298 2006 2596 2843 4012 5686 11033 11372 22066 31273 44132 48331 62546 96662 103079 125092 167737 193324 206158 335474 412316 531641 670948 1063282 1133869 1752343 1845107 2126564 2267738 2851529 3504686 3690214 4535476 5703058 6081661 7009372 7380428 11406116 12163322 19275773 24326644 31366819 38551546 62733638 66898271 77103092 103388237 125467276 133796542 206776474 267593084 293053597 413552948 586107194 1137270607 1172214388 2274541214 3223589567 4549082428 4981911149 6447179134 9963822298 12894358268 17290162223 19927644596 34580324446 54801022639 69160648892 109602045278 190191784453 219204090556 293932757791 380383568906 587865515582 760767137812 1175731031164 3233260335701 6466520671402 12933041342804