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6442440460 = 2253149121163
BaseRepresentation
bin1011111111111111…
…11101011100001100
3121121222120212212221
411333333331130030
5101143231043320
62543135505124
7315435561151
oct57777753414
917558525787
106442440460
112806653965
1212b96881a4
137b8949961
144518a0228
1527a8d13aa
hex17fffd70c

6442440460 has 48 divisors (see below), whose sum is σ = 13994652672. Its totient is φ = 2488651200.

The previous prime is 6442440443. The next prime is 6442440463. The reversal of 6442440460 is 640442446.

It is not an unprimeable number, because it can be changed into a prime (6442440463) 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, 293839 + ... + 315001.

It is an arithmetic number, because the mean of its divisors is an integer number (291555264).

Almost surely, 26442440460 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 6442440460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997326336).

6442440460 is an abundant number, since it is smaller than the sum of its proper divisors (7552212212).

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

6442440460 is a wasteful number, since it uses less digits than its factorization.

6442440460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21694 (or 21692 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The square root of 6442440460 is about 80264.8145827298. The cubic root of 6442440460 is about 1860.7304777176.

The spelling of 6442440460 in words is "six billion, four hundred forty-two million, four hundred forty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 491 620 982 1964 2455 4910 9820 15221 21163 30442 42326 60884 76105 84652 105815 152210 211630 304420 423260 656053 1312106 2624212 3280265 6560530 10391033 13121060 20782066 41564132 51955165 103910330 207820660 322122023 644244046 1288488092 1610610115 3221220230 6442440460