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9131940100836 = 223271749910134217
BaseRepresentation
bin1000010011100011001000…
…0010111011101011100100
31012100000010121101101222200
42010320302002323223210
52144104203131211321
631231053320454500
71631521663060260
oct204706202735344
935300117341880
109131940100836
112a0091a132783
1210359b831a430
135131a4998787
14237db9ad70a0
1510c821a1ed26
hex84e320bbae4

9131940100836 has 288 divisors, whose sum is σ = 28023244704000. Its totient is φ = 2447726764032.

The previous prime is 9131940100831. The next prime is 9131940100867. The reversal of 9131940100836 is 6380010491319.

It is a super-2 number, since 2×91319401008362 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9131940100791 and 9131940100800.

It is not an unprimeable number, because it can be changed into a prime (9131940100831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2165504200 + ... + 2165508416.

It is an arithmetic number, because the mean of its divisors is an integer number (97302933000).

Almost surely, 29131940100836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9131940100836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14011622352000).

9131940100836 is an abundant number, since it is smaller than the sum of its proper divisors (18891304603164).

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

9131940100836 is a wasteful number, since it uses less digits than its factorization.

9131940100836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5763 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 9131940100836 in words is "nine trillion, one hundred thirty-one billion, nine hundred forty million, one hundred thousand, eight hundred thirty-six".