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38656537920 = 263257112132353
BaseRepresentation
bin100100000000000110…
…111111010101000000
310200210001002120222200
4210000012333111000
51113132033203140
625431503433200
72535642102510
oct440006772500
9120701076880
1038656537920
1115437676100
1275a9bb5800
13385093aca0
141c29db5840
151013aae030
hex9001bf540

38656537920 has 2016 divisors, whose sum is σ = 191237469696. Its totient is φ = 6958448640.

The previous prime is 38656537919. The next prime is 38656537921. The reversal of 38656537920 is 2973565683.

It is a happy number.

38656537920 is a `hidden beast` number, since 3 + 8 + 6 + 565 + 3 + 79 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38656537919) and next prime (38656537921).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38656537921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 729368614 + ... + 729368666.

It is an arithmetic number, because the mean of its divisors is an integer number (94859856).

Almost surely, 238656537920 is an apocalyptic number.

38656537920 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 38656537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618734848).

38656537920 is an abundant number, since it is smaller than the sum of its proper divisors (152580931776).

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

38656537920 is a wasteful number, since it uses less digits than its factorization.

38656537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 38656537920 in words is "thirty-eight billion, six hundred fifty-six million, five hundred thirty-seven thousand, nine hundred twenty".