Search a number
-
+
10328347008 = 2732721747229
BaseRepresentation
bin10011001111001111…
…00001000110000000
3222122210121101112200
421213213201012000
5132123024101013
64424512153200
7513642333600
oct114747410600
928583541480
1010328347008
11442009aa81
122002b38800
13c87a31a45
146dd9d4c00
15406b1ae73
hex2679e1180

10328347008 has 576 divisors, whose sum is σ = 37549137600. Its totient is φ = 2706407424.

The previous prime is 10328346997. The next prime is 10328347021. The reversal of 10328347008 is 80074382301.

10328347008 is a `hidden beast` number, since 103 + 2 + 83 + 470 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45101838 + ... + 45102066.

It is an arithmetic number, because the mean of its divisors is an integer number (65189475).

Almost surely, 210328347008 is an apocalyptic number.

10328347008 is a gapful number since it is divisible by the number (18) 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 10328347008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18774568800).

10328347008 is an abundant number, since it is smaller than the sum of its proper divisors (27220790592).

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

10328347008 is a wasteful number, since it uses less digits than its factorization.

10328347008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10328347008 in words is "ten billion, three hundred twenty-eight million, three hundred forty-seven thousand, eight".