Search a number
-
+
6118244352 = 21632112341
BaseRepresentation
bin1011011001010110…
…10000000000000000
3120210101120000102200
411230223100000000
5100012232304402
62451035113200
7304421135043
oct55453200000
916711500380
106118244352
11265a6535a0
121228ba2800
1376672983c
144207ccc5a
1525c1e321c
hex16cad0000

6118244352 has 408 divisors, whose sum is σ = 20610652608. Its totient is φ = 1730150400.

The previous prime is 6118244339. The next prime is 6118244357. The reversal of 6118244352 is 2534428116.

It is a happy number.

6118244352 is a `hidden beast` number, since 61 + 1 + 8 + 244 + 352 = 666.

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

Its product of digits (46080) is a multiple of the sum of its prime divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6118244357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149225452 + ... + 149225492.

Almost surely, 26118244352 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 6118244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305326304).

6118244352 is an abundant number, since it is smaller than the sum of its proper divisors (14492408256).

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

6118244352 is a wasteful number, since it uses less digits than its factorization.

6118244352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 6118244352 is about 78219.2070529995. The cubic root of 6118244352 is about 1828.9799277829.

The spelling of 6118244352 in words is "six billion, one hundred eighteen million, two hundred forty-four thousand, three hundred fifty-two".