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6232144256 = 271316972207
BaseRepresentation
bin1011100110111011…
…01111100110000000
3121002022212201201122
411303131233212000
5100230412104011
62510224251412
7310303231532
oct56335574600
917068781648
106232144256
112708979248
12125b170b68
137841c9030
1443199b852
152671e13db
hex17376f980

6232144256 has 64 divisors (see below), whose sum is σ = 13384586880. Its totient is φ = 2873376768.

The previous prime is 6232144207. The next prime is 6232144271. The reversal of 6232144256 is 6524412326.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2822705 + ... + 2824911.

It is an arithmetic number, because the mean of its divisors is an integer number (209134170).

Almost surely, 26232144256 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 6232144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6692293440).

6232144256 is an abundant number, since it is smaller than the sum of its proper divisors (7152442624).

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

6232144256 is a wasteful number, since it uses less digits than its factorization.

6232144256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3919 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 6232144256 is about 78943.9310903631. The cubic root of 6232144256 is about 1840.2599128742.

The spelling of 6232144256 in words is "six billion, two hundred thirty-two million, one hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 1697 2207 3394 4414 6788 8828 13576 17656 22061 27152 28691 35312 44122 54304 57382 70624 88244 108608 114764 141248 176488 217216 229528 282496 352976 459056 705952 918112 1411904 1836224 2823808 3672448 3745279 7490558 14981116 29962232 48688627 59924464 97377254 119848928 194754508 239697856 389509016 479395712 779018032 1558036064 3116072128 6232144256