Search a number
-
+
4653424034640 = 243453971808869
BaseRepresentation
bin100001110110111010110…
…1011111100001101010000
3121110212022010021220120000
41003231311223330031100
51102220203023102030
613521430430450000
7660125120443143
oct103556553741520
917425263256500
104653424034640
11153456260a107
12631a46363900
13279a7b9b5454
1412132697a05a
15810a60c1860
hex43b75afc350

4653424034640 has 200 divisors, whose sum is σ = 16202750431560. Its totient is φ = 1237786665984.

The previous prime is 4653424034627. The next prime is 4653424034647. The reversal of 4653424034640 is 464304243564.

4653424034640 is a `hidden beast` number, since 4 + 6 + 534 + 2 + 40 + 34 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 874008093456 + 3779415941184 = 934884^2 + 1944072^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4653424034647) 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 39 ways as a sum of consecutive naturals, for example, 1668126 + ... + 3476994.

Almost surely, 24653424034640 is an apocalyptic number.

4653424034640 is a gapful number since it is divisible by the number (40) 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 4653424034640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8101375215780).

4653424034640 is an abundant number, since it is smaller than the sum of its proper divisors (11549326396920).

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

4653424034640 is a wasteful number, since it uses less digits than its factorization.

4653424034640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809291 (or 1809276 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 45.

The spelling of 4653424034640 in words is "four trillion, six hundred fifty-three billion, four hundred twenty-four million, thirty-four thousand, six hundred forty".