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39471368040 = 2334513979661
BaseRepresentation
bin100100110000101011…
…010100011101101000
310202212211100020210000
4210300223110131220
51121314132234130
630044412223000
72565065043516
oct446053243550
9122784306700
1039471368040
1115815616025
127796a6aa60
1339506b40a0
141ca62c14b6
1510603b5260
hex930ad4768

39471368040 has 320 divisors, whose sum is σ = 144360714960. Its totient is φ = 9614868480.

The previous prime is 39471368039. The next prime is 39471368063. The reversal of 39471368040 is 4086317493.

39471368040 is a `hidden beast` number, since 39 + 471 + 36 + 80 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 459587844 + 39011780196 = 21438^2 + 197514^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4080810 + ... + 4090470.

Almost surely, 239471368040 is an apocalyptic number.

39471368040 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 39471368040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72180357480).

39471368040 is an abundant number, since it is smaller than the sum of its proper divisors (104889346920).

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

39471368040 is a wasteful number, since it uses less digits than its factorization.

39471368040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9794 (or 9781 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 39471368040 in words is "thirty-nine billion, four hundred seventy-one million, three hundred sixty-eight thousand, forty".