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30353191920 = 2432559714529
BaseRepresentation
bin11100010001001100…
…001111001111110000
32220100100212220121100
4130101030033033300
5444130404120140
621535530124400
72123115605622
oct342114171760
986310786540
1030353191920
1111966649387
125a71280700
132b295c80bc
14167d306c12
15bc9b43530
hex71130f3f0

30353191920 has 120 divisors (see below), whose sum is σ = 103664012400. Its totient is φ = 7956983808.

The previous prime is 30353191867. The next prime is 30353191927. The reversal of 30353191920 is 2919135303.

30353191920 is a `hidden beast` number, since 30 + 3 + 531 + 9 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30353191927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314785 + ... + 399744.

It is an arithmetic number, because the mean of its divisors is an integer number (863866770).

Almost surely, 230353191920 is an apocalyptic number.

30353191920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30353191920 is an abundant number, since it is smaller than the sum of its proper divisors (73310820480).

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

30353191920 is a wasteful number, since it uses less digits than its factorization.

30353191920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714607 (or 714598 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The spelling of 30353191920 in words is "thirty billion, three hundred fifty-three million, one hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 80 90 118 120 144 177 180 236 240 295 354 360 472 531 590 708 720 885 944 1062 1180 1416 1770 2124 2360 2655 2832 3540 4248 4720 5310 7080 8496 10620 14160 21240 42480 714529 1429058 2143587 2858116 3572645 4287174 5716232 6430761 7145290 8574348 10717935 11432464 12861522 14290580 17148696 21435870 25723044 28581160 32153805 34297392 42157211 42871740 51446088 57162320 64307610 84314422 85743480 102892176 126471633 128615220 168628844 171486960 210786055 252943266 257230440 337257688 379414899 421572110 505886532 514460880 632358165 674515376 758829798 843144220 1011773064 1264716330 1517659596 1686288440 1897074495 2023546128 2529432660 3035319192 3372576880 3794148990 5058865320 6070638384 7588297980 10117730640 15176595960 30353191920