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6049137024 = 273974
BaseRepresentation
bin1011010001000111…
…01000000110000000
3120121120112000000000
411220203220012000
544342034341044
62440130000000
7302621550000
oct55043500600
916546460000
106049137024
1126246421a7
121209a16000
13755311428
14415560000
152560e1d69
hex1688e8180

6049137024 has 400 divisors, whose sum is σ = 21087664620. Its totient is φ = 1728324864.

The previous prime is 6049137019. The next prime is 6049137049. The reversal of 6049137024 is 4207319406.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6049137024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 864162429 + ... + 864162435.

Almost surely, 26049137024 is an apocalyptic number.

6049137024 is a gapful number since it is divisible by the number (64) 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 6049137024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10543832310).

6049137024 is an abundant number, since it is smaller than the sum of its proper divisors (15038527596).

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

6049137024 is an frugal number, since it uses more digits than its factorization.

6049137024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6049137024 is about 77776.1983128515. The cubic root of 6049137024 is about 1822.0675517165.

The spelling of 6049137024 in words is "six billion, forty-nine million, one hundred thirty-seven thousand, twenty-four".