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20310256746 = 2321323724877
BaseRepresentation
bin10010111010100101…
…011110110001101010
31221102110022221111100
4102322211132301222
5313043411203441
613155211142230
71316210222343
oct227245366152
957373287440
1020310256746
11868267955a
123b29a44976
131bb8a57100
14da95a90ca
157dd103cb6
hex4ba95ec6a

20310256746 has 108 divisors (see below), whose sum is σ = 48983700402. Its totient is φ = 6079162752.

The previous prime is 20310256741. The next prime is 20310256823. The reversal of 20310256746 is 64765201302.

20310256746 is a `hidden beast` number, since 20 + 31 + 0 + 2 + 567 + 46 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 2276721225 + 18033535521 = 47715^2 + 134289^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20310256746.

It is not an unprimeable number, because it can be changed into a prime (20310256741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4162060 + ... + 4166936.

Almost surely, 220310256746 is an apocalyptic number.

20310256746 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 20310256746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24491850201).

20310256746 is an abundant number, since it is smaller than the sum of its proper divisors (28673443656).

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

20310256746 is a wasteful number, since it uses less digits than its factorization.

20310256746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 20310256746 in words is "twenty billion, three hundred ten million, two hundred fifty-six thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 169 222 234 333 338 481 507 666 962 1014 1369 1443 1521 2738 2886 3042 4107 4329 4877 6253 8214 8658 9754 12321 12506 14631 17797 18759 24642 29262 35594 37518 43893 53391 56277 63401 87786 106782 112554 126802 160173 180449 190203 231361 320346 360898 380406 462722 541347 570609 694083 824213 1082694 1141218 1388166 1624041 1648426 2082249 2345837 2472639 3248082 4164498 4691674 4945278 6676613 7037511 7417917 13353226 14075022 14835834 20029839 21112533 30495881 40059678 42225066 60089517 60991762 86795969 91487643 120179034 173591938 182975286 260387907 274462929 520775814 548925858 781163721 1128347597 1562327442 2256695194 3385042791 6770085582 10155128373 20310256746