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20513041344 = 26351318997
BaseRepresentation
bin10011000110101011…
…000010101111000000
31221221120220110200000
4103012223002233000
5314002314310334
613231253400000
71324221655155
oct230653025700
957846813600
1020513041344
118777093634
123b85939000
131c1ba779b3
14dc84b422c
15800d0d299
hex4c6ac2bc0

20513041344 has 84 divisors (see below), whose sum is σ = 60974639544. Its totient is φ = 6837675264.

The previous prime is 20513041333. The next prime is 20513041357. The reversal of 20513041344 is 44314031502.

It is a happy number.

20513041344 is a `hidden beast` number, since 205 + 1 + 3 + 0 + 413 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 643947 + ... + 675050.

It is an arithmetic number, because the mean of its divisors is an integer number (725888566).

Almost surely, 220513041344 is an apocalyptic number.

20513041344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20513041344 is an abundant number, since it is smaller than the sum of its proper divisors (40461598200).

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

20513041344 is an equidigital number, since it uses as much as digits as its factorization.

20513041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319024 (or 1319002 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20513041344 its reverse (44314031502), we get a palindrome (64827072846).

The spelling of 20513041344 in words is "twenty billion, five hundred thirteen million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 1318997 2637994 3956991 5275988 7913982 10551976 11870973 15827964 21103952 23741946 31655928 35612919 42207904 47483892 63311856 71225838 84415808 94967784 106838757 126623712 142451676 189935568 213677514 253247424 284903352 320516271 379871136 427355028 569806704 641032542 759742272 854710056 1139613408 1282065084 1709420112 2279226816 2564130168 3418840224 5128260336 6837680448 10256520672 20513041344