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38985656320 = 211513614801
BaseRepresentation
bin100100010011101110…
…011110100000000000
310201121222101112120001
4210103232132200000
51114320312000240
625524301525344
72550046416412
oct442356364000
9121558345501
1038985656320
1115596428686
127680273854
1338a3b926c0
141c5b9a89b2
15103292089a
hex913b9e800

38985656320 has 192 divisors, whose sum is σ = 102411101520. Its totient is φ = 14155776000.

The previous prime is 38985656287. The next prime is 38985656323. The reversal of 38985656320 is 2365658983.

It can be written as a sum of positive squares in 8 ways, for example, as 2501600256 + 36484056064 = 50016^2 + 191008^2 .

It is not an unprimeable number, because it can be changed into a prime (38985656323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8117920 + ... + 8122720.

Almost surely, 238985656320 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 38985656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51205550760).

38985656320 is an abundant number, since it is smaller than the sum of its proper divisors (63425445200).

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

38985656320 is a wasteful number, since it uses less digits than its factorization.

38985656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 38985656320 in words is "thirty-eight billion, nine hundred eighty-five million, six hundred fifty-six thousand, three hundred twenty".