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6028744656 = 24311289107109
BaseRepresentation
bin1011001110101011…
…10101011111010000
3120120011010221221010
411213111311133100
544321324312111
62434120530520
7302253325014
oct54725653720
916504127833
106028744656
112614084100
121203020a40
1375102153c
14412972544
15254414aa6
hex1675757d0

6028744656 has 240 divisors, whose sum is σ = 17633246400. Its totient is φ = 1773066240.

The previous prime is 6028744651. The next prime is 6028744681. The reversal of 6028744656 is 6564478206.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6028744651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55309530 + ... + 55309638.

It is an arithmetic number, because the mean of its divisors is an integer number (73471860).

Almost surely, 26028744656 is an apocalyptic number.

6028744656 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 6028744656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8816623200).

6028744656 is an abundant number, since it is smaller than the sum of its proper divisors (11604501744).

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

6028744656 is a wasteful number, since it uses less digits than its factorization.

6028744656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 6028744656 is about 77644.9911842354. The cubic root of 6028744656 is about 1820.0177770674.

The spelling of 6028744656 in words is "six billion, twenty-eight million, seven hundred forty-four thousand, six hundred fifty-six".