Search a number
-
+
10794316896 = 25321129293401
BaseRepresentation
bin10100000110110010…
…00011010001100000
31000212021102010001200
422003121003101200
5134101321120041
64543035401200
7531331115436
oct120331032140
930767363050
1010794316896
11463a124060
122112bb3200
13103043067c
1474584cd56
154329b11b6
hex283643460

10794316896 has 288 divisors, whose sum is σ = 34846549920. Its totient is φ = 3139584000.

The previous prime is 10794316873. The next prime is 10794316903. The reversal of 10794316896 is 69861349701.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26918296 + ... + 26918696.

It is an arithmetic number, because the mean of its divisors is an integer number (120994965).

Almost surely, 210794316896 is an apocalyptic number.

10794316896 is a gapful number since it is divisible by the number (16) 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 10794316896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17423274960).

10794316896 is an abundant number, since it is smaller than the sum of its proper divisors (24052233024).

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

10794316896 is a wasteful number, since it uses less digits than its factorization.

10794316896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10794316896 in words is "ten billion, seven hundred ninety-four million, three hundred sixteen thousand, eight hundred ninety-six".