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236895384961 = 6127921012
BaseRepresentation
bin1101110010100000010…
…0001011010110000001
3211122110122110102210201
43130220010023112001
512340130204304321
6300454522125201
723054326356004
oct3345004132601
9748418412721
10236895384961
11915152a5a94
1239ab3950801
131945411bc01
14b67421353b
156267600291
hex372810b581

236895384961 has 27 divisors (see below), whose sum is σ = 246368869929. Its totient is φ = 227784492000.

The previous prime is 236895384953. The next prime is 236895384967. The reversal of 236895384961 is 169483598632.

The square root of 236895384961 is 486719.

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 76895361 + 236818489600 = 8769^2 + 486640^2 .

It is not a de Polignac number, because 236895384961 - 23 = 236895384953 is a prime.

It is a super-2 number, since 2×2368953849612 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 236895384893 and 236895384902.

It is not an unprimeable number, because it can be changed into a prime (236895384967) 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, 2345498811 + ... + 2345498911.

Almost surely, 2236895384961 is an apocalyptic number.

236895384961 is the 486719-th square number.

236895384961 is the 243360-th centered octagonal number.

It is an amenable number.

236895384961 is a deficient number, since it is larger than the sum of its proper divisors (9473484968).

236895384961 is an frugal number, since it uses more digits than its factorization.

236895384961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 241 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 64.

Multiplying 236895384961 by its sum of digits (64), we get a square (15161304637504 = 38937522).

The spelling of 236895384961 in words is "two hundred thirty-six billion, eight hundred ninety-five million, three hundred eighty-four thousand, nine hundred sixty-one".

Divisors: 1 61 79 101 3721 4819 6161 6241 7979 10201 293959 375821 380701 486719 622261 630341 805879 23222761 29689859 37957921 38450801 49158619 63664441 2345498861 2998675759 3883530901 236895384961