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38490418577 = 1329412490161
BaseRepresentation
bin100011110110001101…
…010010110110010001
310200100110111212002102
4203312031102312101
51112312021343302
625403211130145
72531554105532
oct436615226621
9120313455072
1038490418577
1115361924196
127562443955
1338253b7110
141c11cd2689
1510041e8702
hex8f6352d91

38490418577 has 16 divisors (see below), whose sum is σ = 43926457680. Its totient is φ = 33467750400.

The previous prime is 38490418523. The next prime is 38490418579. The reversal of 38490418577 is 77581409483.

38490418577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 20152925521 + 18337493056 = 141961^2 + 135416^2 .

It is a cyclic number.

It is not a de Polignac number, because 38490418577 - 28 = 38490418321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38490418579) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1229624 + ... + 1260537.

It is an arithmetic number, because the mean of its divisors is an integer number (2745403605).

Almost surely, 238490418577 is an apocalyptic number.

It is an amenable number.

38490418577 is a deficient number, since it is larger than the sum of its proper divisors (5436039103).

38490418577 is a wasteful number, since it uses less digits than its factorization.

38490418577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490244.

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 38490418577 in words is "thirty-eight billion, four hundred ninety million, four hundred eighteen thousand, five hundred seventy-seven".

Divisors: 1 13 29 41 377 533 1189 15457 2490161 32372093 72214669 102096601 938790697 1327255813 2960801429 38490418577