Search a number
-
+
20535323406 = 23136131313789
BaseRepresentation
bin10011001000000000…
…000010101100001110
31222000010211111220120
4103020000002230032
5314024020322111
613233411125410
71324612240353
oct231000025416
958003744816
1020535323406
118788722464
123b912a3866
131c23579a50
14dcb43462a
15802c60406
hex4c8002b0e

20535323406 has 64 divisors (see below), whose sum is σ = 45101904960. Its totient is φ = 6194672640.

The previous prime is 20535323387. The next prime is 20535323407. The reversal of 20535323406 is 60432353502.

It is a super-2 number, since 2×205353234062 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20535323407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1482360 + ... + 1496148.

It is an arithmetic number, because the mean of its divisors is an integer number (704717265).

Almost surely, 220535323406 is an apocalyptic number.

20535323406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20535323406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22550952480).

20535323406 is an abundant number, since it is smaller than the sum of its proper divisors (24566581554).

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

20535323406 is a wasteful number, since it uses less digits than its factorization.

20535323406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14181.

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 20535323406 its reverse (60432353502), we get a palindrome (80967676908).

The spelling of 20535323406 in words is "twenty billion, five hundred thirty-five million, three hundred twenty-three thousand, four hundred six".

Divisors: 1 2 3 6 13 26 39 61 78 122 183 313 366 626 793 939 1586 1878 2379 4069 4758 8138 12207 13789 19093 24414 27578 38186 41367 57279 82734 114558 179257 248209 358514 496418 537771 744627 841129 1075542 1489254 1682258 2523387 4315957 5046774 8631914 10934677 12947871 21869354 25895742 32804031 56107441 65608062 112214882 168322323 263273377 336644646 526546754 789820131 1579640262 3422553901 6845107802 10267661703 20535323406