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4621331264 = 26116619931
BaseRepresentation
bin1000100110111001…
…11110101101000000
3102221001211221201012
410103130332231000
533431030100024
62042323100052
7222343444664
oct42334765500
912831757635
104621331264
111a61691640
12a8b811628
13588578654
1431ba908a4
151c0aa850e
hex11373eb40

4621331264 has 56 divisors (see below), whose sum is σ = 10020275616. Its totient is φ = 2097216000.

The previous prime is 4621331263. The next prime is 4621331287.

4621331264 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4621331264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4621331261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460379 + ... + 470309.

Almost surely, 24621331264 is an apocalyptic number.

4621331264 is a gapful number since it is divisible by the number (44) 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 4621331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010137808).

4621331264 is an abundant number, since it is smaller than the sum of its proper divisors (5398944352).

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

4621331264 is a wasteful number, since it uses less digits than its factorization.

4621331264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10615 (or 10605 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 4621331264 is about 67980.3741090030. The cubic root of 4621331264 is about 1665.6702672227.

It can be divided in two parts, 46213 and 31264, that added together give a palindrome (77477).

The spelling of 4621331264 in words is "four billion, six hundred twenty-one million, three hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 661 704 1322 2644 5288 7271 9931 10576 14542 19862 21152 29084 39724 42304 58168 79448 109241 116336 158896 218482 232672 317792 436964 465344 635584 873928 1747856 3495712 6564391 6991424 13128782 26257564 52515128 72208301 105030256 144416602 210060512 288833204 420121024 577666408 1155332816 2310665632 4621331264