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6442474860 = 2233513985831
BaseRepresentation
bin1100000000000000…
…00101110101101100
3121121222122122002000
412000000011311230
5101143233143420
62543140332300
7315436063353
oct60000056554
917558578060
106442474860
112806677798
1212b96a4090
137b895c503
144518ac99a
1527a8db690
hex180005d6c

6442474860 has 96 divisors (see below), whose sum is σ = 20187686400. Its totient is φ = 1705613760.

The previous prime is 6442474813. The next prime is 6442474867. The reversal of 6442474860 is 684742446.

6442474860 is a `hidden beast` number, since 64 + 42 + 474 + 86 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6442474867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32145 + ... + 117975.

It is an arithmetic number, because the mean of its divisors is an integer number (210288400).

Almost surely, 26442474860 is an apocalyptic number.

6442474860 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6442474860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10093843200).

6442474860 is an abundant number, since it is smaller than the sum of its proper divisors (13745211540).

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

6442474860 is a wasteful number, since it uses less digits than its factorization.

6442474860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85988 (or 85980 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The square root of 6442474860 is about 80265.0288731026. The cubic root of 6442474860 is about 1860.7337895585.

The spelling of 6442474860 in words is "six billion, four hundred forty-two million, four hundred seventy-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 139 180 270 278 417 540 556 695 834 1251 1390 1668 2085 2502 2780 3753 4170 5004 6255 7506 8340 12510 15012 18765 25020 37530 75060 85831 171662 257493 343324 429155 514986 772479 858310 1029972 1287465 1544958 1716620 2317437 2574930 3089916 3862395 4634874 5149860 7724790 9269748 11587185 11930509 15449580 23174370 23861018 35791527 46348740 47722036 59652545 71583054 107374581 119305090 143166108 178957635 214749162 238610180 322123743 357915270 429498324 536872905 644247486 715830540 1073745810 1288494972 1610618715 2147491620 3221237430 6442474860