Search a number
-
+
1030075894584 = 2332113189471403
BaseRepresentation
bin11101111110101010100…
…11101100101100111000
310122110210202112011122200
432333111103230230320
5113334043412111314
62105113233150200
7134264145431622
oct16772523545470
93573722464580
101030075894584
11367941a96720
121477763bb360
137619c2b4479
1437bda9a9c12
151bbdbd82709
hexefd54ecb38

1030075894584 has 192 divisors, whose sum is σ = 3176885836800. Its totient is φ = 298680307200.

The previous prime is 1030075894583. The next prime is 1030075894597. The reversal of 1030075894584 is 4854985700301.

1030075894584 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 0 + 7 + 58 + 9 + 4 + 584 = 666.

It is a super-2 number, since 2×10300758945842 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1030075894584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030075894583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1949427 + ... + 2420829.

It is an arithmetic number, because the mean of its divisors is an integer number (16546280400).

Almost surely, 21030075894584 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 1030075894584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588442918400).

1030075894584 is an abundant number, since it is smaller than the sum of its proper divisors (2146809942216).

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

1030075894584 is a wasteful number, since it uses less digits than its factorization.

1030075894584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471546 (or 471539 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1030075894584 in words is "one trillion, thirty billion, seventy-five million, eight hundred ninety-four thousand, five hundred eighty-four".