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381823996392 = 233373121319963
BaseRepresentation
bin1011000111001100111…
…10111101000111101000
31100111112222012201102000
411203212132331013220
522223433420341032
6451224005211000
736404645263566
oct5434636750750
91314488181360
10381823996392
11137a26767913
1262000100a60
132a00cb05c17
14146a223ca36
159dead75e7c
hex58e67bd1e8

381823996392 has 128 divisors (see below), whose sum is σ = 1076091542400. Its totient is φ = 125421405696.

The previous prime is 381823996363. The next prime is 381823996403. The reversal of 381823996392 is 293699328183.

381823996392 is a `hidden beast` number, since 3 + 8 + 1 + 8 + 239 + 9 + 6 + 392 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19116603 + ... + 19136565.

It is an arithmetic number, because the mean of its divisors is an integer number (8406965175).

Almost surely, 2381823996392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381823996392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538045771200).

381823996392 is an abundant number, since it is smaller than the sum of its proper divisors (694267546008).

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

381823996392 is a wasteful number, since it uses less digits than its factorization.

381823996392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21264 (or 21254 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 381823996392 in words is "three hundred eighty-one billion, eight hundred twenty-three million, nine hundred ninety-six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1213 1314 1752 1971 2426 2628 3639 3942 4852 5256 7278 7884 9704 10917 14556 15768 19963 21834 29112 32751 39926 43668 59889 65502 79852 87336 88549 119778 131004 159704 177098 179667 239556 262008 265647 354196 359334 479112 531294 539001 708392 718668 796941 1062588 1078002 1437336 1457299 1593882 2125176 2156004 2390823 2914598 3187764 4312008 4371897 4781646 5829196 6375528 8743794 9563292 11658392 13115691 17487588 19126584 24215119 26231382 34975176 39347073 48430238 52462764 72645357 78694146 96860476 104925528 145290714 157388292 193720952 217936071 290581428 314776584 435872142 581162856 653808213 871744284 1307616426 1743488568 1767703687 2615232852 3535407374 5230465704 5303111061 7070814748 10606222122 14141629496 15909333183 21212444244 31818666366 42424888488 47727999549 63637332732 95455999098 127274665464 190911998196 381823996392