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38322407552 = 27116132
BaseRepresentation
bin100011101100001100…
…011000100010000000
310122220202101000021212
4203230030120202000
51111441014020202
625334410105252
72524444042502
oct435414304200
9118822330255
1038322407552
1115286000000
12751611b228
1337c9650200
141bd7879d72
15ee45ac652
hex8ec318880

38322407552 has 168 divisors, whose sum is σ = 90936878805. Its totient is φ = 16079331840.

The previous prime is 38322407509. The next prime is 38322407569. The reversal of 38322407552 is 25570422383.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 32766792256 + 5555615296 = 181016^2 + 74536^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=138424.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2947877498 + ... + 2947877510.

Almost surely, 238322407552 is an apocalyptic number.

38322407552 is a gapful number since it is divisible by the number (32) 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 38322407552

38322407552 is an abundant number, since it is smaller than the sum of its proper divisors (52614471253).

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

38322407552 is an frugal number, since it uses more digits than its factorization.

38322407552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 41.

The spelling of 38322407552 in words is "thirty-eight billion, three hundred twenty-two million, four hundred seven thousand, five hundred fifty-two".