Search a number
-
+
10790630784 = 2735192312
BaseRepresentation
bin10100000110010101…
…11111010110000000
31000212000110211200000
422003022333112000
5134044400141114
64542424400000
7531254563653
oct120312772600
930760424600
1010790630784
11463803668a
122111916000
13102c73c93b
1474516d89a
154324d3e09
hex2832bf580

10790630784 has 432 divisors, whose sum is σ = 35116869060. Its totient is φ = 3297646080.

The previous prime is 10790630749. The next prime is 10790630791. The reversal of 10790630784 is 48703609701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10790630784 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 0 + 630 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 348084849 + ... + 348084879.

Almost surely, 210790630784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10790630784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17558434530).

10790630784 is an abundant number, since it is smaller than the sum of its proper divisors (24326238276).

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

10790630784 is an frugal number, since it uses more digits than its factorization.

10790630784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 10790630784 in words is "ten billion, seven hundred ninety million, six hundred thirty thousand, seven hundred eighty-four".