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13133641140 = 2232572964673
BaseRepresentation
bin11000011101101001…
…10111010110110100
31020220022021002122100
430032310313112310
5203344203004030
610011123302100
7643315051644
oct141664672664
936808232570
1013133641140
11562a663a84
12266651a930
131313c938b9
148c83d6524
1551d04e360
hex30ed375b4

13133641140 has 36 divisors (see below), whose sum is σ = 39838712004. Its totient is φ = 3502304256.

The previous prime is 13133641123. The next prime is 13133641177. The reversal of 13133641140 is 4114633131.

13133641140 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 641 + 14 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4262261796 + 8871379344 = 65286^2 + 94188^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36482157 + ... + 36482516.

It is an arithmetic number, because the mean of its divisors is an integer number (1106630889).

Almost surely, 213133641140 is an apocalyptic number.

13133641140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133641140 is an abundant number, since it is smaller than the sum of its proper divisors (26705070864).

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

13133641140 is a wasteful number, since it uses less digits than its factorization.

13133641140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72964688 (or 72964683 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13133641140 in words is "thirteen billion, one hundred thirty-three million, six hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 72964673 145929346 218894019 291858692 364823365 437788038 656682057 729646730 875576076 1094470095 1313364114 1459293460 2188940190 2626728228 3283410285 4377880380 6566820570 13133641140