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38382230048 = 255925872
BaseRepresentation
bin100011101111110000…
…100101101000100000
310200001220221022022212
4203233300211220200
51112101322330143
625344344221252
72526101400221
oct435760455040
9120056838285
1038382230048
111530684a588
12753216a828
133808b67436
141c017ad248
15ee9977918
hex8efc25a20

38382230048 has 54 divisors (see below), whose sum is σ = 76998659031. Its totient is φ = 18833702464.

The previous prime is 38382230039. The next prime is 38382230093. The reversal of 38382230048 is 84003228383.

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 only one way, i.e., 19191115024 + 19191115024 = 138532^2 + 138532^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=138532.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38382229987 and 38382230014.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65386811 + ... + 65387397.

Almost surely, 238382230048 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 38382230048

38382230048 is an abundant number, since it is smaller than the sum of its proper divisors (38616428983).

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

38382230048 is an frugal number, since it uses more digits than its factorization.

38382230048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 38382230048 in words is "thirty-eight billion, three hundred eighty-two million, two hundred thirty thousand, forty-eight".

Divisors: 1 2 4 8 16 32 59 118 236 472 587 944 1174 1888 2348 3481 4696 6962 9392 13924 18784 27848 34633 55696 69266 111392 138532 277064 344569 554128 689138 1108256 1378276 2043347 2756552 4086694 5513104 8173388 11026208 16346776 20329571 32693552 40659142 65387104 81318284 162636568 325273136 650546272 1199444689 2398889378 4797778756 9595557512 19191115024 38382230048