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6242993028 = 2234172611093
BaseRepresentation
bin1011101000001110…
…01000001110000100
3121010002021220110000
411310013020032010
5100241201234103
62511253001300
7310464364566
oct56407101604
917102256400
106242993028
112714009078
121262923230
1378652701c
144331c3336
15268135aa3
hex1741c8384

6242993028 has 180 divisors, whose sum is σ = 17637247012. Its totient is φ = 1924715520.

The previous prime is 6242993023. The next prime is 6242993083. The reversal of 6242993028 is 8203992426.

It can be written as a sum of positive squares in 6 ways, for example, as 638673984 + 5604319044 = 25272^2 + 74862^2 .

It is not an unprimeable number, because it can be changed into a prime (6242993023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5711250 + ... + 5712342.

Almost surely, 26242993028 is an apocalyptic number.

6242993028 is a gapful number since it is divisible by the number (68) 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 6242993028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8818623506).

6242993028 is an abundant number, since it is smaller than the sum of its proper divisors (11394253984).

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

6242993028 is a wasteful number, since it uses less digits than its factorization.

6242993028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6242993028 is about 79012.6130943661. The cubic root of 6242993028 is about 1841.3271210972.

The spelling of 6242993028 in words is "six billion, two hundred forty-two million, nine hundred ninety-three thousand, twenty-eight".