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38238365760 = 2635743132331
BaseRepresentation
bin100011100111001011…
…110010100001000000
310122200220020020121220
4203213023302201000
51111303010201020
625322204515040
72522403513630
oct434713624100
9118626206556
1038238365760
1115242619181
1274b1b4ba80
1337b510623a
141bca6406c0
15edc00b240
hex8e72f2840

38238365760 has 224 divisors, whose sum is σ = 141978473472. Its totient is φ = 8536872960.

The previous prime is 38238365749. The next prime is 38238365771. The reversal of 38238365760 is 6756383283.

It is an interprime number because it is at equal distance from previous prime (38238365749) and next prime (38238365771).

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222795 + ... + 355125.

Almost surely, 238238365760 is an apocalyptic number.

38238365760 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 38238365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70989236736).

38238365760 is an abundant number, since it is smaller than the sum of its proper divisors (103740107712).

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

38238365760 is a wasteful number, since it uses less digits than its factorization.

38238365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132401 (or 132391 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 38238365760 in words is "thirty-eight billion, two hundred thirty-eight million, three hundred sixty-five thousand, seven hundred sixty".