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6021429456 = 243735949919
BaseRepresentation
bin1011001101110011…
…11011100011010000
3120112122101022100210
411212321323203100
544312441220311
62433300044120
7302134206630
oct54671734320
916478338323
106021429456
11260aa38089
121200693640
1374c65ca13
144119ca6c0
1525396c3a6
hex166e7b8d0

6021429456 has 80 divisors (see below), whose sum is σ = 17827430400. Its totient is φ = 1715581824.

The previous prime is 6021429443. The next prime is 6021429457. The reversal of 6021429456 is 6549241206.

It is a happy number.

It is a super-2 number, since 2×60214294562 = 72515225387168911872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6021429457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95665 + ... + 145583.

It is an arithmetic number, because the mean of its divisors is an integer number (222842880).

Almost surely, 26021429456 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 6021429456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8913715200).

6021429456 is an abundant number, since it is smaller than the sum of its proper divisors (11806000944).

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

6021429456 is a wasteful number, since it uses less digits than its factorization.

6021429456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50296 (or 50290 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 6021429456 is about 77597.8701769578. The cubic root of 6021429456 is about 1819.2813505329.

The spelling of 6021429456 in words is "six billion, twenty-one million, four hundred twenty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 359 718 1077 1436 2154 2513 2872 4308 5026 5744 7539 8616 10052 15078 17232 20104 30156 40208 49919 60312 99838 120624 149757 199676 299514 349433 399352 599028 698866 798704 1048299 1198056 1397732 2096598 2396112 2795464 4193196 5590928 8386392 16772784 17920921 35841842 53762763 71683684 107525526 125446447 143367368 215051052 250892894 286734736 376339341 430102104 501785788 752678682 860204208 1003571576 1505357364 2007143152 3010714728 6021429456