Search a number
-
+
10792320000 = 21035471173
BaseRepresentation
bin10100000110100010…
…11011110000000000
31000212010122122211120
422003101123300000
5134100313220000
64542524512240
7531305130540
oct120321336000
930763578746
1010792320000
114638a8a830
1221123ab680
13102cbb1787
1474548d320
154327196a0
hex28345bc00

10792320000 has 880 divisors, whose sum is σ = 45428858112. Its totient is φ = 2211840000.

The previous prime is 10792319999. The next prime is 10792320029. The reversal of 10792320000 is 2329701.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 147839964 + ... + 147840036.

Almost surely, 210792320000 is an apocalyptic number.

10792320000 is a gapful number since it is divisible by the number (10) 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 10792320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22714429056).

10792320000 is an abundant number, since it is smaller than the sum of its proper divisors (34636538112).

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

10792320000 is an equidigital number, since it uses as much as digits as its factorization.

10792320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

Adding to 10792320000 its reverse (2329701), we get a palindrome (10794649701).

The spelling of 10792320000 in words is "ten billion, seven hundred ninety-two million, three hundred twenty thousand".