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20112381408 = 253741729979
BaseRepresentation
bin10010101110110010…
…101001010111100000
31220220122222211120010
4102232302221113200
5312142232201113
613123422044520
71311255264330
oct225662512740
956818884503
1020112381408
118590a07919
123a93719740
131b86a64c02
14d8b1bb0c0
157caa691c3
hex4aeca95e0

20112381408 has 96 divisors (see below), whose sum is σ = 61808866560. Its totient is φ = 5606231040.

The previous prime is 20112381371. The next prime is 20112381413. The reversal of 20112381408 is 80418321102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 337438 + ... + 392541.

It is an arithmetic number, because the mean of its divisors is an integer number (643842360).

Almost surely, 220112381408 is an apocalyptic number.

20112381408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20112381408 is an abundant number, since it is smaller than the sum of its proper divisors (41696485152).

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

20112381408 is a wasteful number, since it uses less digits than its factorization.

20112381408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730040 (or 730032 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 20112381408 in words is "twenty billion, one hundred twelve million, three hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 3444 3936 4592 6888 9184 13776 27552 729979 1459958 2189937 2919916 4379874 5109853 5839832 8759748 10219706 11679664 15329559 17519496 20439412 23359328 29929139 30659118 35038992 40878824 59858278 61318236 70077984 81757648 89787417 119716556 122636472 163515296 179574834 209503973 239433112 245272944 359149668 419007946 478866224 490545888 628511919 718299336 838015892 957732448 1257023838 1436598672 1676031784 2514047676 2873197344 3352063568 5028095352 6704127136 10056190704 20112381408