Search a number
-
+
6030193734864 = 243213311011278101
BaseRepresentation
bin101011111000000001110…
…0011100011010011010000
3210100110222120101012112200
41113300003203203103100
51242244314044003424
620454122135323200
71161444552011535
oct127600343432320
923313876335480
106030193734864
111a1543317a342
12814837820500
1334984c8c75c0
1416bc11c68d8c
15a6cd4ace8c9
hex57c038e34d0

6030193734864 has 480 divisors, whose sum is σ = 19097892323328. Its totient is φ = 1763596800000.

The previous prime is 6030193734863. The next prime is 6030193734869. The reversal of 6030193734864 is 4684373910306.

It is a happy number.

6030193734864 is a `hidden beast` number, since 6 + 0 + 3 + 0 + 1 + 93 + 73 + 486 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6030193734864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6030193734863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 744372414 + ... + 744380514.

Almost surely, 26030193734864 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 6030193734864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9548946161664).

6030193734864 is an abundant number, since it is smaller than the sum of its proper divisors (13067698588464).

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

6030193734864 is a wasteful number, since it uses less digits than its factorization.

6030193734864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8387 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 6030193734864 in words is "six trillion, thirty billion, one hundred ninety-three million, seven hundred thirty-four thousand, eight hundred sixty-four".