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20137628824920 = 2332563188649537
BaseRepresentation
bin1001001010000101010000…
…01101100111010101011000
32122022010201222101012200200
410211002220031213111120
510114413330434344140
6110455033213302200
74145616133520205
oct445025015472530
978263658335620
1020137628824920
116464358537252
122312983194960
13b30c7c840249
144d89489b0cac
1524dc5c827030
hex1250a8367558

20137628824920 has 96 divisors (see below), whose sum is σ = 65551014378720. Its totient is φ = 5361523937280.

The previous prime is 20137628824867. The next prime is 20137628824949. The reversal of 20137628824920 is 2942882673102.

20137628824920 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 7 + 628 + 8 + 2 + 4 + 9 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 44097609 + ... + 44551928.

It is an arithmetic number, because the mean of its divisors is an integer number (682823066445).

Almost surely, 220137628824920 is an apocalyptic number.

20137628824920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20137628824920 is an abundant number, since it is smaller than the sum of its proper divisors (45413385553800).

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

20137628824920 is a wasteful number, since it uses less digits than its factorization.

20137628824920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88650185 (or 88650178 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 20137628824920 in words is "twenty trillion, one hundred thirty-seven billion, six hundred twenty-eight million, eight hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 631 1262 1893 2524 3155 3786 5048 5679 6310 7572 9465 11358 12620 15144 18930 22716 25240 28395 37860 45432 56790 75720 113580 227160 88649537 177299074 265948611 354598148 443247685 531897222 709196296 797845833 886495370 1063794444 1329743055 1595691666 1772990740 2127588888 2659486110 3191383332 3545981480 3989229165 5318972220 6382766664 7978458330 10637944440 15956916660 31913833320 55937857847 111875715694 167813573541 223751431388 279689289235 335627147082 447502862776 503440720623 559378578470 671254294164 839067867705 1006881441246 1118757156940 1342508588328 1678135735410 2013762882492 2237514313880 2517203603115 3356271470820 4027525764984 5034407206230 6712542941640 10068814412460 20137628824920