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38326675984 = 2417228792
BaseRepresentation
bin100011101100011100…
…101010101000010000
310122221001101212110221
4203230130222220100
51111443112112414
625335041402424
72524525241062
oct435434525020
9118831355427
1038326675984
1115288455a33
127517639414
1337ca4b5ccc
141bd826b732
15ee4b52224
hex8ec72aa10

38326675984 has 45 divisors (see below), whose sum is σ = 78910405357. Its totient is φ = 18029818112.

The previous prime is 38326675973. The next prime is 38326675999. The reversal of 38326675984 is 48957662383.

The square root of 38326675984 is 195772.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29839107600 + 8487568384 = 172740^2 + 92128^2 .

It is a Duffinian number.

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, 13311057 + ... + 13313935.

Almost surely, 238326675984 is an apocalyptic number.

38326675984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

38326675984 is the 195772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38326675984

38326675984 is an abundant number, since it is smaller than the sum of its proper divisors (40583729373).

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

38326675984 is an frugal number, since it uses more digits than its factorization.

38326675984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 2898 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 61.

The spelling of 38326675984 in words is "thirty-eight billion, three hundred twenty-six million, six hundred seventy-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 2879 4624 5758 11516 23032 46064 48943 97886 195772 391544 783088 832031 1664062 3328124 6656248 8288641 13312496 16577282 33154564 66309128 132618256 140906897 281813794 563627588 1127255176 2254510352 2395417249 4790834498 9581668996 19163337992 38326675984