Search a number
-
+
4644312134464 = 26157617749129
BaseRepresentation
bin100001110010101011010…
…0100110011001101000000
3121102222210002122102100201
41003211112210303031000
51102043022401300324
613513322331054544
7656353245534412
oct103452644631500
917388702572321
104644312134464
1115307071396a2
126301228a1454
13278c58cb5c42
14120b007569b2
1580c2118e444
hex43956933340

4644312134464 has 56 divisors (see below), whose sum is σ = 9289802314440. Its totient is φ = 2303622537216.

The previous prime is 4644312134419. The next prime is 4644312134471.

It is a happy number.

4644312134464 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 9729849600 + 4634582284864 = 98640^2 + 2152808^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5825052 + ... + 6574180.

Almost surely, 24644312134464 is an apocalyptic number.

It is an amenable number.

4644312134464 is an abundant number, since it is smaller than the sum of its proper divisors (4645490179976).

4644312134464 is a wasteful number, since it uses less digits than its factorization.

4644312134464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749915 (or 749905 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 46.

The spelling of 4644312134464 in words is "four trillion, six hundred forty-four billion, three hundred twelve million, one hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 157 314 617 628 1234 1256 2468 2512 4936 5024 9872 10048 19744 39488 96869 193738 387476 749129 774952 1498258 1549904 2996516 3099808 5993032 6199616 11986064 23972128 47944256 117613253 235226506 462212593 470453012 924425186 940906024 1848850372 1881812048 3697700744 3763624096 7395401488 7527248192 14790802976 29581605952 72567377101 145134754202 290269508404 580539016808 1161078033616 2322156067232 4644312134464