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36191123940 = 223541711091901
BaseRepresentation
bin100001101101001010…
…001011100111100100
310110102012222120210210
4201231022023213210
51043104411431230
624343113215420
72420564322606
oct415512134744
9113365876723
1036191123940
1114391a45094
127020401570
133549c2b04a
141a747a9176
15e1c415eb0
hex86d28b9e4

36191123940 has 192 divisors, whose sum is σ = 106290455040. Its totient is φ = 9192960000.

The previous prime is 36191123909. The next prime is 36191123951. The reversal of 36191123940 is 4932119163.

It is a happy number.

It is a super-2 number, since 2×361911239402 (a number of 22 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 19036990 + ... + 19038890.

It is an arithmetic number, because the mean of its divisors is an integer number (553596120).

Almost surely, 236191123940 is an apocalyptic number.

36191123940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36191123940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53145227520).

36191123940 is an abundant number, since it is smaller than the sum of its proper divisors (70099331100).

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

36191123940 is a wasteful number, since it uses less digits than its factorization.

36191123940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 36191123940 in words is "thirty-six billion, one hundred ninety-one million, one hundred twenty-three thousand, nine hundred forty".