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20212898517 = 34725092693
BaseRepresentation
bin10010110100110010…
…000101101011010101
31221011200010122010000
4102310302011223111
5312344000223032
613141412321513
71313615542200
oct226462055325
957150118100
1020212898517
118632721909
123b01313299
131ba1829ba6
14d9a6a4937
157d47c1e7c
hex4b4c85ad5

20212898517 has 30 divisors (see below), whose sum is σ = 35124310518. Its totient is φ = 11550225456.

The previous prime is 20212898507. The next prime is 20212898521. The reversal of 20212898517 is 71589821202.

20212898517 is a `hidden beast` number, since 2 + 0 + 2 + 128 + 9 + 8 + 517 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13118037156 + 7094861361 = 114534^2 + 84231^2 .

It is not a de Polignac number, because 20212898517 - 28 = 20212898261 is a prime.

It is a super-2 number, since 2×202128985172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212898507) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 2542378 + ... + 2550315.

Almost surely, 220212898517 is an apocalyptic number.

20212898517 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20212898517 is a deficient number, since it is larger than the sum of its proper divisors (14911412001).

20212898517 is an equidigital number, since it uses as much as digits as its factorization.

20212898517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092719 (or 5092703 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 20212898517 in words is "twenty billion, two hundred twelve million, eight hundred ninety-eight thousand, five hundred seventeen".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 5092693 15278079 35648851 45834237 106946553 137502711 249541957 320839659 412508133 748625871 962518977 2245877613 2887556931 6737632839 20212898517