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6574440642 = 23721115113463
BaseRepresentation
bin1100001111101111…
…00000000011000010
3121222011222012002120
412013313200003002
5101431024100032
63004213025110
7321630552300
oct60767400302
917864865076
106574440642
112874111620
121335925196
1380a0b5983
14465221270
152872a762c
hex187de00c2

6574440642 has 96 divisors (see below), whose sum is σ = 16797901824. Its totient is φ = 1696212000.

The previous prime is 6574440619. The next prime is 6574440647. The reversal of 6574440642 is 2460444756.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6574440594 and 6574440603.

It is not an unprimeable number, because it can be changed into a prime (6574440647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481603 + ... + 495065.

It is an arithmetic number, because the mean of its divisors is an integer number (174978144).

Almost surely, 26574440642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6574440642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398950912).

6574440642 is an abundant number, since it is smaller than the sum of its proper divisors (10223461182).

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

6574440642 is a wasteful number, since it uses less digits than its factorization.

6574440642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13644 (or 13637 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The square root of 6574440642 is about 81082.9244785855. The cubic root of 6574440642 is about 1873.3529255503.

The spelling of 6574440642 in words is "six billion, five hundred seventy-four million, four hundred forty thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 151 154 231 294 302 453 462 539 906 1057 1078 1617 1661 2114 3171 3234 3322 4983 6342 7399 9966 11627 13463 14798 22197 23254 26926 34881 40389 44394 69762 80778 81389 94241 148093 162778 188482 244167 282723 296186 444279 488334 565446 659687 888558 1036651 1319374 1979061 2032913 2073302 3109953 3958122 4065826 6098739 6219906 7256557 12197478 14230391 14513114 21769671 22362043 28460782 42691173 43539342 44724086 67086129 85382346 99612737 134172258 156534301 199225474 298838211 313068602 469602903 597676422 939205806 1095740107 2191480214 3287220321 6574440642