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38377864337 = 61738618429
BaseRepresentation
bin100011101111011111…
…111011110010010001
310200001121201111200212
4203233133323302101
51112044213124322
625344110453505
72526016315211
oct435737736221
9120047644625
1038377864337
111530433855a
127530804295
133807c99287
141c00d94241
15ee93b40e2
hex8ef7fbc91

38377864337 has 8 divisors (see below), whose sum is σ = 39541356840. Its totient is φ = 37231608960.

The previous prime is 38377864307. The next prime is 38377864373. The reversal of 38377864337 is 73346877383.

It can be written as a sum of positive squares in 4 ways, for example, as 1612102801 + 36765761536 = 40151^2 + 191744^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38377864337 - 234 = 21197995153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38377864307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4304762 + ... + 4313667.

It is an arithmetic number, because the mean of its divisors is an integer number (4942669605).

Almost surely, 238377864337 is an apocalyptic number.

It is an amenable number.

38377864337 is a deficient number, since it is larger than the sum of its proper divisors (1163492503).

38377864337 is an equidigital number, since it uses as much as digits as its factorization.

38377864337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8618563.

The product of its digits is 42674688, while the sum is 59.

The spelling of 38377864337 in words is "thirty-eight billion, three hundred seventy-seven million, eight hundred sixty-four thousand, three hundred thirty-seven".

Divisors: 1 61 73 4453 8618429 525724169 629145317 38377864337