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202427432860 = 22541811304393
BaseRepresentation
bin1011110010000110011…
…1010111111110011100
3201100111111221001101011
42330201213113332130
511304032410322420
6232554402225004
720424224534512
oct2744147277634
9640444831334
10202427432860
1178938010464
1233294655164
13161201c1493
149b246424b2
1553eb61895a
hex2f219d7f9c

202427432860 has 48 divisors (see below), whose sum is σ = 436004224992. Its totient is φ = 78898406400.

The previous prime is 202427432803. The next prime is 202427432861. The reversal of 202427432860 is 68234724202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202427432861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512824 + ... + 817216.

It is an arithmetic number, because the mean of its divisors is an integer number (9083421354).

Almost surely, 2202427432860 is an apocalyptic number.

202427432860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202427432860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218002112496).

202427432860 is an abundant number, since it is smaller than the sum of its proper divisors (233576792132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202427432860 is a wasteful number, since it uses less digits than its factorization.

202427432860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305254 (or 305252 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 202427432860 in words is "two hundred two billion, four hundred twenty-seven million, four hundred thirty-two thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 811 820 1622 3244 4055 8110 16220 33251 66502 133004 166255 304393 332510 608786 665020 1217572 1521965 3043930 6087860 12480113 24960226 49920452 62400565 124801130 246862723 249602260 493725446 987450892 1234313615 2468627230 4937254460 10121371643 20242743286 40485486572 50606858215 101213716430 202427432860