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138333342492 = 22327757495371
BaseRepresentation
bin1000000011010101001…
…1110100101100011100
3111020001200120220110100
42000311103310230130
54231301313424432
6143314403341100
712665013003342
oct2006523645434
9436050526410
10138333342492
1153737624744
1222987681790
13100774bac17
1469a4145992
1538e975707c
hex20354f4b1c

138333342492 has 36 divisors (see below), whose sum is σ = 349721733816. Its totient is φ = 46105076640.

The previous prime is 138333342467. The next prime is 138333342619. The reversal of 138333342492 is 294243333831.

138333342492 is a `hidden beast` number, since 13 + 83 + 3 + 33 + 42 + 492 = 666.

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

It is a super-2 number, since 2×1383333424922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31567 + ... + 526937.

It is an arithmetic number, because the mean of its divisors is an integer number (9714492606).

Almost surely, 2138333342492 is an apocalyptic number.

138333342492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138333342492 is an abundant number, since it is smaller than the sum of its proper divisors (211388391324).

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

138333342492 is a wasteful number, since it uses less digits than its factorization.

138333342492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503138 (or 503133 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The spelling of 138333342492 in words is "one hundred thirty-eight billion, three hundred thirty-three million, three hundred forty-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 7757 15514 23271 31028 46542 69813 93084 139626 279252 495371 990742 1486113 1981484 2972226 4458339 5944452 8916678 17833356 3842592847 7685185694 11527778541 15370371388 23055557082 34583335623 46111114164 69166671246 138333342492