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6113889936 = 24337311331
BaseRepresentation
bin1011011000110101…
…01000111010010000
3120210002100210022000
411230122220322100
5100010123434221
62450401514000
7304336131000
oct55432507220
916702323260
106113889936
11265814a000
121227642900
1376586386b
1441ddb8000
1525bb32e26
hex16c6a8e90

6113889936 has 640 divisors, whose sum is σ = 23236608000. Its totient is φ = 1536796800.

The previous prime is 6113889913. The next prime is 6113889937. The reversal of 6113889936 is 6399883116.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1679616) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (6113889937) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 197222241 + ... + 197222271.

It is an arithmetic number, because the mean of its divisors is an integer number (36307200).

Almost surely, 26113889936 is an apocalyptic number.

6113889936 is a gapful number since it is divisible by the number (66) 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 6113889936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11618304000).

6113889936 is an abundant number, since it is smaller than the sum of its proper divisors (17122718064).

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

6113889936 is a wasteful number, since it uses less digits than its factorization.

6113889936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 54 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 6113889936 is about 78191.3674007559. The cubic root of 6113889936 is about 1828.5459236723.

The spelling of 6113889936 in words is "six billion, one hundred thirteen million, eight hundred eighty-nine thousand, nine hundred thirty-six".