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3828131361 = 377922157
BaseRepresentation
bin1110010000101100…
…1010011000100001
3100212210022020000000
43210023022120201
530320000200421
61431510050213
7163602402555
oct34413123041
910783266000
103828131361
11169497582a
128aa049969
134901369b2
142845b5865
15176126226
hexe42ca621

3828131361 has 32 divisors (see below), whose sum is σ = 5814259200. Its totient is φ = 2519668944.

The previous prime is 3828131347. The next prime is 3828131369. The reversal of 3828131361 is 1631318283.

3828131361 is a `hidden beast` number, since 3 + 8 + 281 + 313 + 61 = 666.

It is not a de Polignac number, because 3828131361 - 211 = 3828129313 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3828131369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161695 + ... + 183851.

It is an arithmetic number, because the mean of its divisors is an integer number (181695600).

Almost surely, 23828131361 is an apocalyptic number.

It is an amenable number.

3828131361 is a deficient number, since it is larger than the sum of its proper divisors (1986127839).

3828131361 is an frugal number, since it uses more digits than its factorization.

3828131361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22257 (or 22239 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 3828131361 is about 61871.8947584442. The cubic root of 3828131361 is about 1564.3320528750.

The spelling of 3828131361 in words is "three billion, eight hundred twenty-eight million, one hundred thirty-one thousand, three hundred sixty-one".

Divisors: 1 3 9 27 79 81 237 243 711 729 2133 2187 6399 19197 22157 57591 66471 172773 199413 598239 1750403 1794717 5251209 5384151 15753627 16152453 47260881 48457359 141782643 425347929 1276043787 3828131361