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185009332031 = 2912071528509
BaseRepresentation
bin1010110001001101101…
…0100101111100111111
3122200112121200211221122
42230103122211330333
511012344342111111
6220554144021155
716236463242446
oct2542332457477
9580477624848
10185009332031
1171509a43507
122ba333017bb
13145a56bc944
148d51209d5d
154c2c3a4cdb
hex2b136a5f3f

185009332031 has 8 divisors (see below), whose sum is σ = 191405181600. Its totient is φ = 178614563680.

The previous prime is 185009332007. The next prime is 185009332037. The reversal of 185009332031 is 130233900581.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-185009332031 is a prime.

It is a super-2 number, since 2×1850093320312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 185009331982 and 185009332000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185009332037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85805 + ... + 614313.

It is an arithmetic number, because the mean of its divisors is an integer number (23925647700).

Almost surely, 2185009332031 is an apocalyptic number.

185009332031 is a deficient number, since it is larger than the sum of its proper divisors (6395849569).

185009332031 is a wasteful number, since it uses less digits than its factorization.

185009332031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540609.

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 185009332031 in words is "one hundred eighty-five billion, nine million, three hundred thirty-two thousand, thirty-one".

Divisors: 1 29 12071 350059 528509 15326761 6379632139 185009332031