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6442496928 = 253273195683
BaseRepresentation
bin1100000000000000…
…01011001110100000
3121121222200202100100
412000000023032200
5101143234400203
62543141022400
7315436214610
oct60000131640
917558622310
106442496928
11280669232a
1212b96b4a00
137b896957a
144518b6a40
1527a8e2ea3
hex18000b3a0

6442496928 has 72 divisors (see below), whose sum is σ = 20938121568. Its totient is φ = 1840712832.

The previous prime is 6442496881. The next prime is 6442496933. The reversal of 6442496928 is 8296942446.

6442496928 is a `hidden beast` number, since 64 + 4 + 2 + 496 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1595826 + ... + 1599857.

It is an arithmetic number, because the mean of its divisors is an integer number (290807244).

Almost surely, 26442496928 is an apocalyptic number.

It is an amenable number.

6442496928 is an abundant number, since it is smaller than the sum of its proper divisors (14495624640).

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

6442496928 is a wasteful number, since it uses less digits than its factorization.

6442496928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195706 (or 3195695 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 6442496928 is about 80265.1663425673. The cubic root of 6442496928 is about 1860.7359141368.

The spelling of 6442496928 in words is "six billion, four hundred forty-two million, four hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 3195683 6391366 9587049 12782732 19174098 22369781 25565464 28761147 38348196 44739562 51130928 57522294 67109343 76696392 89479124 102261856 115044588 134218686 153392784 178958248 201328029 230089176 268437372 306785568 357916496 402656058 460178352 536874744 715832992 805312116 920356704 1073749488 1610624232 2147498976 3221248464 6442496928