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13933331369406 = 233833108730783
BaseRepresentation
bin1100101011000001101101…
…0001000100110110111110
31211100000100211010121121000
43022300123101010312332
53311240430312310111
645344514542551130
72635435640344131
oct312603321046676
954300324117530
1013933331369406
114492102353779
1216904585984a6
137a0ba4a52cc7
1436253c07a218
15192687ed9c56
hexcac1b444dbe

13933331369406 has 32 divisors (see below), whose sum is σ = 31336006302720. Its totient is φ = 4588486634232.

The previous prime is 13933331369383. The next prime is 13933331369407. The reversal of 13933331369406 is 60496313333931.

13933331369406 is a `hidden beast` number, since 1 + 3 + 93 + 333 + 136 + 94 + 0 + 6 = 666.

13933331369406 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13933331369407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1554360910 + ... + 1554369873.

It is an arithmetic number, because the mean of its divisors is an integer number (979250196960).

Almost surely, 213933331369406 is an apocalyptic number.

13933331369406 is an abundant number, since it is smaller than the sum of its proper divisors (17402674933314).

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

13933331369406 is a wasteful number, since it uses less digits than its factorization.

13933331369406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108730877 (or 3108730871 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 54.

The spelling of 13933331369406 in words is "thirteen trillion, nine hundred thirty-three billion, three hundred thirty-one million, three hundred sixty-nine thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1494 2241 4482 3108730783 6217461566 9326192349 18652384698 27978577047 55957154094 83935731141 167871462282 258024654989 516049309978 774073964967 1548147929934 2322221894901 4644443789802 6966665684703 13933331369406