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3838258258272 = 253213327285619
BaseRepresentation
bin110111110110101010000…
…001010010000101100000
3111120221012211001220110100
4313312222001102011200
51000341223103231042
612055134351102400
7544206421613514
oct67665201220540
914527184056410
103838258258272
11124a8837a6139
1251ba68b11a00
1321ac3ba59009
14d3ab639a144
1569c9667124c
hex37daa052160

3838258258272 has 36 divisors (see below), whose sum is σ = 10915046922780. Its totient is φ = 1279419419328.

The previous prime is 3838258258223. The next prime is 3838258258273. The reversal of 3838258258272 is 2728528528383.

3838258258272 is a `hidden beast` number, since 38 + 3 + 82 + 5 + 8 + 258 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838258258273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6663642522 + ... + 6663643097.

It is an arithmetic number, because the mean of its divisors is an integer number (303195747855).

Almost surely, 23838258258272 is an apocalyptic number.

3838258258272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3838258258272 is an abundant number, since it is smaller than the sum of its proper divisors (7076788664508).

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

3838258258272 is a wasteful number, since it uses less digits than its factorization.

3838258258272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13327285635 (or 13327285624 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 63.

The spelling of 3838258258272 in words is "three trillion, eight hundred thirty-eight billion, two hundred fifty-eight million, two hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 13327285619 26654571238 39981856857 53309142476 79963713714 106618284952 119945570571 159927427428 213236569904 239891141142 319854854856 426473139808 479782282284 639709709712 959564564568 1279419419424 1919129129136 3838258258272