Search a number
-
+
45523213320601 = 376597012663347
BaseRepresentation
bin10100101100111001100101…
…11101011000000110011001
312222011222101000012201102001
422112130302331120012121
521431323020102224401
6240453024150041001
712405641443462012
oct1226346275300631
9188158330181361
1045523213320601
111356131714a405
125132854049161
131c52a88b08053
14b3549a022009
1553e26ae6c601
hex296732f58199

45523213320601 has 16 divisors (see below), whose sum is σ = 46891331023680. Its totient is φ = 44162538033600.

The previous prime is 45523213320593. The next prime is 45523213320631. The reversal of 45523213320601 is 10602331232554.

45523213320601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 45523213320601 - 23 = 45523213320593 is a prime.

It is a super-2 number, since 2×455232133206012 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45523213320631) 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, 15760810 + ... + 18424156.

It is an arithmetic number, because the mean of its divisors is an integer number (2930708188980).

Almost surely, 245523213320601 is an apocalyptic number.

It is an amenable number.

45523213320601 is a deficient number, since it is larger than the sum of its proper divisors (1368117703079).

45523213320601 is a wasteful number, since it uses less digits than its factorization.

45523213320601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664744.

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 45523213320601 in words is "forty-five trillion, five hundred twenty-three billion, two hundred thirteen million, three hundred twenty thousand, six hundred one".

Divisors: 1 37 659 701 24383 25937 461959 2663347 17092483 98543839 1755145673 1867006247 64940389901 69079231139 1230357116773 45523213320601