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6022056744 = 23321121773557
BaseRepresentation
bin1011001101111000…
…10100101100101000
3120112200120011211200
411212330110230220
544313121303434
62433321324200
7302142431514
oct54674245450
916480504750
106022056744
112610326400
121200936660
1374c81c3b2
14411b11144
15253a43199
hex166f14b28

6022056744 has 288 divisors, whose sum is σ = 19276344360. Its totient is φ = 1690951680.

The previous prime is 6022056713. The next prime is 6022056779. The reversal of 6022056744 is 4476502206.

6022056744 is a `hidden beast` number, since 602 + 2 + 0 + 5 + 6 + 7 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4866736644 + 1155320100 = 69762^2 + 33990^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 6022056699 and 6022056708.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10811314 + ... + 10811870.

Almost surely, 26022056744 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 6022056744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9638172180).

6022056744 is an abundant number, since it is smaller than the sum of its proper divisors (13254287616).

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

6022056744 is a wasteful number, since it uses less digits than its factorization.

6022056744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6022056744 is about 77601.9119867546. The cubic root of 6022056744 is about 1819.3445234468.

It can be divided in two parts, 60220 and 56744, that added together give a square (116964 = 3422).

The spelling of 6022056744 in words is "six billion, twenty-two million, fifty-six thousand, seven hundred forty-four".