Search a number
-
+
2069500815360 = 2113251117232227
BaseRepresentation
bin11110000111010111110…
…111000110100000000000
321022211202001220002020200
4132013113313012200000
5232401314202042420
64222414320405200
7302342105454636
oct36072767064000
97284661802220
102069500815360
11728741293070
122950bb776800
131201cb450aa4
1472243083356
1538c74886b90
hex1e1d7dc6800

2069500815360 has 1728 divisors, whose sum is σ = 8698857935040. Its totient is φ = 449666088960.

The previous prime is 2069500815341. The next prime is 2069500815409. The reversal of 2069500815360 is 635180059602.

2069500815360 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 500 + 81 + 5 + 3 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9116743567 + ... + 9116743793.

It is an arithmetic number, because the mean of its divisors is an integer number (5034061305).

Almost surely, 22069500815360 is an apocalyptic number.

2069500815360 is a gapful number since it is divisible by the number (20) 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 2069500815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349428967520).

2069500815360 is an abundant number, since it is smaller than the sum of its proper divisors (6629357119680).

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

2069500815360 is a wasteful number, since it uses less digits than its factorization.

2069500815360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 2069500815360 in words is "two trillion, sixty-nine billion, five hundred million, eight hundred fifteen thousand, three hundred sixty".