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39693392640 = 28325112313619
BaseRepresentation
bin100100111101111010…
…010001101100000000
310210110022010021021100
4210331322101230000
51122243002031030
630122423054400
72603432161536
oct447572215400
9123408107240
1039693392640
1115919981430
1278392a1400
1339876b01a5
141cc7998156
151074b20360
hex93de91b00

39693392640 has 432 divisors, whose sum is σ = 156345396480. Its totient is φ = 9203589120.

The previous prime is 39693392621. The next prime is 39693392647. The reversal of 39693392640 is 4629339693.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (39693392647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2907751 + ... + 2921369.

It is an arithmetic number, because the mean of its divisors is an integer number (361910640).

Almost surely, 239693392640 is an apocalyptic number.

39693392640 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 39693392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78172698240).

39693392640 is an abundant number, since it is smaller than the sum of its proper divisors (116652003840).

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

39693392640 is a wasteful number, since it uses less digits than its factorization.

39693392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13680 (or 13663 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 54.

The spelling of 39693392640 in words is "thirty-nine billion, six hundred ninety-three million, three hundred ninety-two thousand, six hundred forty".