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381599431830 = 23352635373883
BaseRepresentation
bin1011000110110010001…
…10010011110010010110
31100110222022122122202000
411203121012103302112
522223003423304310
6451145424100130
736366250436451
oct5433106236226
91313868578660
10381599431830
11137920a27171
1261b58a64646
1329ca542a996
14146804a4498
159dd62b84c0
hex58d9193c96

381599431830 has 64 divisors (see below), whose sum is σ = 1021467870720. Its totient is φ = 101372910048.

The previous prime is 381599431781. The next prime is 381599431831. The reversal of 381599431830 is 38134995183.

381599431830 is a `hidden beast` number, since 3 + 8 + 1 + 599 + 4 + 3 + 18 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381599431831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2615932 + ... + 2757951.

It is an arithmetic number, because the mean of its divisors is an integer number (15960435480).

Almost surely, 2381599431830 is an apocalyptic number.

381599431830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

381599431830 is an abundant number, since it is smaller than the sum of its proper divisors (639868438890).

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

381599431830 is a wasteful number, since it uses less digits than its factorization.

381599431830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374162 (or 5374156 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 381599431830 in words is "three hundred eighty-one billion, five hundred ninety-nine million, four hundred thirty-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 263 270 526 789 1315 1578 2367 2630 3945 4734 7101 7890 11835 14202 23670 35505 71010 5373883 10747766 16121649 26869415 32243298 48364947 53738830 80608245 96729894 145094841 161216490 241824735 290189682 483649470 725474205 1413331229 1450948410 2826662458 4239993687 7066656145 8479987374 12719981061 14133312290 21199968435 25439962122 38159943183 42399936870 63599905305 76319886366 127199810610 190799715915 381599431830