Search a number
-
+
5382140460522 = 237734153422689
BaseRepresentation
bin100111001010010000010…
…0100011111110111101010
3201001112020121210212222220
41032110200210133313222
51201140110424214042
615240304324454510
71063563313040010
oct116244044376752
921045217725886
105382140460522
111795609a83581
1272b117b4a436
133006c2610b67
141486d5a428b0
15950062598ec
hex4e52091fdea

5382140460522 has 64 divisors (see below), whose sum is σ = 12473588663040. Its totient is φ = 1516320497664.

The previous prime is 5382140460491. The next prime is 5382140460523. The reversal of 5382140460522 is 2250640412835.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5382140460523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12521754 + ... + 12944442.

It is an arithmetic number, because the mean of its divisors is an integer number (194899822860).

Almost surely, 25382140460522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5382140460522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236794331520).

5382140460522 is an abundant number, since it is smaller than the sum of its proper divisors (7091448202518).

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

5382140460522 is a wasteful number, since it uses less digits than its factorization.

5382140460522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426927.

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 5382140460522 in words is "five trillion, three hundred eighty-two billion, one hundred forty million, four hundred sixty thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1533 3066 4153 8306 12459 24918 29071 58142 87213 174426 303169 422689 606338 845378 909507 1268067 1819014 2122183 2536134 2958823 4244366 5917646 6366549 8876469 12733098 17752938 30856297 61712594 92568891 185137782 215994079 431988158 647982237 1295964474 1755427417 3510854834 5266282251 10532564502 12287991919 24575983838 36863975757 73727951514 128146201441 256292402882 384438604323 768877208646 897023410087 1794046820174 2691070230261 5382140460522