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38212813275 = 3527135598947
BaseRepresentation
bin100011100101101010…
…010100000111011011
310122122010011001012120
4203211222110013123
51111224440011100
625315453112323
72521643360610
oct434552240733
9118563131176
1038212813275
111522a15621a
1274a54886a3
1337aca2a720
141bc70ac507
15ed9b600a0
hex8e5a941db

38212813275 has 48 divisors (see below), whose sum is σ = 77758189824. Its totient is φ = 16124964480.

The previous prime is 38212813273. The next prime is 38212813283. The reversal of 38212813275 is 57231821283.

38212813275 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38212813275 - 21 = 38212813273 is a prime.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (38212813273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2792649 + ... + 2806298.

It is an arithmetic number, because the mean of its divisors is an integer number (1619962288).

Almost surely, 238212813275 is an apocalyptic number.

38212813275 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38212813275 is an abundant number, since it is smaller than the sum of its proper divisors (39545376549).

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

38212813275 is a wasteful number, since it uses less digits than its factorization.

38212813275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598980 (or 5598975 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 38212813275 in words is "thirty-eight billion, two hundred twelve million, eight hundred thirteen thousand, two hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 273 325 455 525 975 1365 2275 6825 5598947 16796841 27994735 39192629 72786311 83984205 117577887 139973675 195963145 218358933 363931555 419921025 509504177 587889435 979815725 1091794665 1528512531 1819657775 2547520885 2939447175 5458973325 7642562655 12737604425 38212813275