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20813997319696 = 24721629372
BaseRepresentation
bin1001011101110001000101…
…11010101010011000010000
32201200210120021000202112101
410232320202322222120100
510212004031303212241
6112133452433410144
74245522154050100
oct456704272523020
981623507022471
1020813997319696
1166a519195a239
122401a85709954
13b7c9a01412a9
1451d58d59d200
15261646e2be31
hex12ee22eaa610

20813997319696 has 45 divisors (see below), whose sum is σ = 46911427278669. Its totient is φ = 8920229818752.

The previous prime is 20813997319673. The next prime is 20813997319747. The reversal of 20813997319696 is 69691379931802.

The square root of 20813997319696 is 4562236.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3800550250000 + 17013447069696 = 1949500^2 + 4124736^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 127661140 + ... + 127824076.

Almost surely, 220813997319696 is an apocalyptic number.

20813997319696 is the 4562236-th square number.

It is an amenable number.

20813997319696 is an abundant number, since it is smaller than the sum of its proper divisors (26097429958973).

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

20813997319696 is an frugal number, since it uses more digits than its factorization.

20813997319696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325896 (or 162946 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 73.

The spelling of 20813997319696 in words is "twenty trillion, eight hundred thirteen billion, nine hundred ninety-seven million, three hundred nineteen thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 162937 325874 651748 1140559 1303496 2281118 2606992 4562236 7983913 9124472 15967826 18248944 31935652 63871304 127742608 26548465969 53096931938 106193863876 185839261783 212387727752 371678523566 424775455504 743357047132 1300874832481 1486714094264 2601749664962 2973428188528 5203499329924 10406998659848 20813997319696