Search a number
-
+
6000015104320 = 2651718120892917
BaseRepresentation
bin101011101001111110011…
…0001001101100101000000
3210020121002100221221010111
41113103330301031211000
51241301012331314240
620432211402441104
71156325652620116
oct127237461154500
923217070857114
106000015104320
111a03657119566
1280aa14b03194
13346a5051aa73
1416a58bc01ab6
15a611a46d1ea
hex574fcc4d940

6000015104320 has 224 divisors, whose sum is σ = 15224058289440. Its totient is φ = 2244504453120.

The previous prime is 6000015104299. The next prime is 6000015104341. The reversal of 6000015104320 is 234015100006.

It is an interprime number because it is at equal distance from previous prime (6000015104299) and next prime (6000015104341).

It can be written as a sum of positive squares in 16 ways, for example, as 25393059904 + 5974622044416 = 159352^2 + 2444304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6000015104291 and 6000015104300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2056911502 + ... + 2056914418.

It is an arithmetic number, because the mean of its divisors is an integer number (67964545935).

Almost surely, 26000015104320 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 6000015104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612029144720).

6000015104320 is an abundant number, since it is smaller than the sum of its proper divisors (9224043185120).

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

6000015104320 is a wasteful number, since it uses less digits than its factorization.

6000015104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The spelling of 6000015104320 in words is "six trillion, fifteen million, one hundred four thousand, three hundred twenty".