Search a number
-
+
2592423020544 = 2113732774441
BaseRepresentation
bin100101101110011000011…
…101000000100000000000
3100011211111102021110122120
4211232120131000200000
5314433240243124134
65302535342204240
7355203442044000
oct45563035004000
910154442243576
102592423020544
1190a493235595
1235a519283680
1315a6064c0286
148d68c704000
154767ca5e649
hex25b98740800

2592423020544 has 384 divisors, whose sum is σ = 8090907552000. Its totient is φ = 737852129280.

The previous prime is 2592423020531. The next prime is 2592423020563. The reversal of 2592423020544 is 4450203242952.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 2592423020496 and 2592423020505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583745364 + ... + 583749804.

It is an arithmetic number, because the mean of its divisors is an integer number (21070071750).

Almost surely, 22592423020544 is an apocalyptic number.

2592423020544 is a gapful number since it is divisible by the number (24) 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 2592423020544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045453776000).

2592423020544 is an abundant number, since it is smaller than the sum of its proper divisors (5498484531456).

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

2592423020544 is an equidigital number, since it uses as much as digits as its factorization.

2592423020544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 2592423020544 in words is "two trillion, five hundred ninety-two billion, four hundred twenty-three million, twenty thousand, five hundred forty-four".