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13346091432 = 23321009183709
BaseRepresentation
bin11000110110111110…
…10011000110101000
31021110010000200122200
430123133103012220
5204313044411212
610044153020200
7651504622362
oct143337230650
937403020580
1013346091432
115729580033
1227056b4660
131348cb9b2b
149086d9d32
15531a176dc
hex31b7d31a8

13346091432 has 48 divisors (see below), whose sum is σ = 36181684500. Its totient is φ = 4444263936.

The previous prime is 13346091427. The next prime is 13346091433. The reversal of 13346091432 is 23419064331.

13346091432 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 609 + 1 + 43 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13162055076 + 184036356 = 114726^2 + 13566^2 .

It is a super-2 number, since 2×133460914322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13346091433) 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, 19207 + ... + 164502.

Almost surely, 213346091432 is an apocalyptic number.

13346091432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13346091432 is an abundant number, since it is smaller than the sum of its proper divisors (22835593068).

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

13346091432 is a wasteful number, since it uses less digits than its factorization.

13346091432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184730 (or 184723 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13346091432 in words is "thirteen billion, three hundred forty-six million, ninety-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1009 2018 3027 4036 6054 8072 9081 12108 18162 24216 36324 72648 183709 367418 551127 734836 1102254 1469672 1653381 2204508 3306762 4409016 6613524 13227048 185362381 370724762 556087143 741449524 1112174286 1482899048 1668261429 2224348572 3336522858 4448697144 6673045716 13346091432