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641431199236 = 2241297672
BaseRepresentation
bin10010101010110000100…
…01110101111000000100
32021022122102222001020211
421111120101311320010
541002122341333421
61210400332405204
764225156143232
oct11253021657004
92238572861224
10641431199236
1122803620a823
12a4392016804
1348643393309
142308c965952
1511a4230d9e1
hex9558475e04

641431199236 has 27 divisors (see below), whose sum is σ = 1150668331477. Its totient is φ = 312861232160.

The previous prime is 641431199197. The next prime is 641431199237. The reversal of 641431199236 is 632991134146.

It is a happy number.

The square root of 641431199236 is 800894.

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., 30907749636 + 610523449600 = 175806^2 + 781360^2 .

It is a super-2 number, since 2×6414311992362 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 641431199236.

It is not an unprimeable number, because it can be changed into a prime (641431199237) 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 8 ways as a sum of consecutive naturals, for example, 65668425 + ... + 65678191.

Almost surely, 2641431199236 is an apocalyptic number.

641431199236 is the 800894-th square number.

It is an amenable number.

641431199236 is a deficient number, since it is larger than the sum of its proper divisors (509237132241).

641431199236 is an frugal number, since it uses more digits than its factorization.

641431199236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19620 (or 9810 counting only the distinct ones).

The product of its digits is 839808, while the sum is 49.

Multiplying 641431199236 by its sum of digits (49), we get a square (31430128762564 = 56062582).

The spelling of 641431199236 in words is "six hundred forty-one billion, four hundred thirty-one million, one hundred ninety-nine thousand, two hundred thirty-six".

Divisors: 1 2 4 41 82 164 1681 3362 6724 9767 19534 39068 400447 800894 1601788 16418327 32836654 65673308 95394289 190788578 381577156 3911165849 7822331698 15644663396 160357799809 320715599618 641431199236