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20456722729 = 15729112
BaseRepresentation
bin10011000011010100…
…001101000100101001
31221210122221012001101
4103003110031010221
5313343410111404
613221522321401
71322636163022
oct230324150451
957718835041
1020456722729
118748317623
123b6aab9261
131c101b9581
14dc0c13c49
157eadd62a4
hex4c350d129

20456722729 has 9 divisors (see below), whose sum is σ = 20610474231. Its totient is φ = 20304112920.

The previous prime is 20456722681. The next prime is 20456722789. The reversal of 20456722729 is 92722765402.

The square root of 20456722729 is 143027.

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., 5996179225 + 14460543504 = 77435^2 + 120252^2 .

It is not a de Polignac number, because 20456722729 - 211 = 20456720681 is a prime.

It is a super-2 number, since 2×204567227292 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20456722789) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22454784 + ... + 22455694.

Almost surely, 220456722729 is an apocalyptic number.

20456722729 is the 143027-th square number.

20456722729 is the 71514-th centered octagonal number.

It is an amenable number.

20456722729 is a deficient number, since it is larger than the sum of its proper divisors (153751502).

20456722729 is an frugal number, since it uses more digits than its factorization.

20456722729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 20456722729 in words is "twenty billion, four hundred fifty-six million, seven hundred twenty-two thousand, seven hundred twenty-nine".

Divisors: 1 157 911 24649 143027 829921 22455239 130297597 20456722729