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20833208764281 = 345071492
BaseRepresentation
bin1001011110010100111000…
…00000100000011101111001
32201202122011010202021010000
410233022130000200131321
510212312402420424111
6112150351033343213
74250102222454444
oct457123400403571
981678133667100
1020833208764281
116702350254971
122405747567b09
13b81742342294
14520492c5865b
15261dbd831c56
hex12f29c020779

20833208764281 has 15 divisors (see below), whose sum is σ = 31121274457471. Its totient is φ = 13888778456808.

The previous prime is 20833208764261. The next prime is 20833208764283. The reversal of 20833208764281 is 18246780233802.

The square root of 20833208764281 is 4564341.

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

20833208764281 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 3 + 208 + 7 + 6 + 428 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14500033867881 + 6333174896400 = 3807891^2 + 2516580^2 .

It is not a de Polignac number, because 20833208764281 - 213 = 20833208756089 is a prime.

It is a super-2 number, since 2×208332087642812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20833208764283) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 40825495 + ... + 41332643.

Almost surely, 220833208764281 is an apocalyptic number.

20833208764281 is the 4564341-st square number.

20833208764281 is the 2282171-st centered octagonal number.

It is an amenable number.

20833208764281 is a deficient number, since it is larger than the sum of its proper divisors (10288065693190).

20833208764281 is an frugal number, since it uses more digits than its factorization.

20833208764281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014310 (or 507152 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 20833208764281 in words is "twenty trillion, eight hundred thirty-three billion, two hundred eight million, seven hundred sixty-four thousand, two hundred eighty-one".

Divisors: 1 3 9 27 81 507149 1521447 4564341 13693023 41079069 257200108201 771600324603 2314800973809 6944402921427 20833208764281