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37138110042 = 23114113724357
BaseRepresentation
bin100010100101100110…
…101001011001011010
310112212012220110112010
4202211212221121122
51102024324010132
625021102330350
72453213504205
oct424546513132
9115765813463
1037138110042
1114828549830
1272455899b6
13366b196057
141b2447693c
15e756246cc
hex8a59a965a

37138110042 has 32 divisors (see below), whose sum is σ = 83004917184. Its totient is φ = 10979484800.

The previous prime is 37138109989. The next prime is 37138110067. The reversal of 37138110042 is 24001183173.

It is a junction number, because it is equal to n+sod(n) for n = 37138109991 and 37138110009.

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 15 ways as a sum of consecutive naturals, for example, 6859473 + ... + 6864884.

It is an arithmetic number, because the mean of its divisors is an integer number (2593903662).

Almost surely, 237138110042 is an apocalyptic number.

37138110042 is an abundant number, since it is smaller than the sum of its proper divisors (45866807142).

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

37138110042 is a wasteful number, since it uses less digits than its factorization.

37138110042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13724414.

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 37138110042 in words is "thirty-seven billion, one hundred thirty-eight million, one hundred ten thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 13724357 27448714 41173071 82346142 150967927 301935854 452903781 562698637 905807562 1125397274 1688095911 3376191822 6189685007 12379370014 18569055021 37138110042