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39681349290 = 232511167389617
BaseRepresentation
bin100100111101001100…
…010101011010101010
310210102110110101220100
4210331030111122222
51122231411134130
630121313010230
72603224621662
oct447514253252
9123373411810
1039681349290
11159130a6050
127835253976
13398505454b
141cc61411a2
151073a41c60
hex93d3156aa

39681349290 has 192 divisors, whose sum is σ = 113699738880. Its totient is φ = 9522078720.

The previous prime is 39681349283. The next prime is 39681349291. The reversal of 39681349290 is 9294318693.

39681349290 is a `hidden beast` number, since 3 + 9 + 6 + 8 + 1 + 349 + 290 = 666.

39681349290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (39681349291) 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, 64313062 + ... + 64313678.

It is an arithmetic number, because the mean of its divisors is an integer number (592186140).

Almost surely, 239681349290 is an apocalyptic number.

39681349290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39681349290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56849869440).

39681349290 is an abundant number, since it is smaller than the sum of its proper divisors (74018389590).

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

39681349290 is a wasteful number, since it uses less digits than its factorization.

39681349290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 39681349290 in words is "thirty-nine billion, six hundred eighty-one million, three hundred forty-nine thousand, two hundred ninety".