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20295772836889 = 112372110692
BaseRepresentation
bin1001001110101011110100…
…10101001001010000011001
32122212020221022020101202011
410213111322111021100121
510130011220321240024
6111055425504305521
74163215112451454
oct447257225112031
978766838211664
1020295772836889
116515430725100
1223395593122a1
13b42b63415ca4
1450246bbd649b
15252e1639c094
hex12757a549419

20295772836889 has 27 divisors (see below), whose sum is σ = 22929878328861. Its totient is φ = 17950413111840.

The previous prime is 20295772836883. The next prime is 20295772836893. The reversal of 20295772836889 is 98863827759202.

The square root of 20295772836889 is 4505083.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8027264025 + 20287745572864 = 89595^2 + 4504192^2 .

It is not a de Polignac number, because 20295772836889 - 243 = 11499679814681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20295772836883) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1833563247 + ... + 1833574315.

Almost surely, 220295772836889 is an apocalyptic number.

20295772836889 is the 4505083-rd square number.

20295772836889 is the 2252542-nd centered octagonal number.

It is an amenable number.

20295772836889 is a deficient number, since it is larger than the sum of its proper divisors (2634105491972).

20295772836889 is an frugal number, since it uses more digits than its factorization.

20295772836889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22234 (or 11117 counting only the distinct ones).

The product of its (nonzero) digits is 1463132160, while the sum is 76.

The spelling of 20295772836889 in words is "twenty trillion, two hundred ninety-five billion, seven hundred seventy-two million, eight hundred thirty-six thousand, eight hundred eighty-nine".

Divisors: 1 11 37 121 407 1369 4477 11069 15059 121759 165649 409553 1339349 4505083 15153461 49555913 122522761 166688071 1347750371 1833568781 4533342157 14825254081 49866763727 167733659809 548534400997 1845070257899 20295772836889