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493442069904 = 243271733785447
BaseRepresentation
bin1110010111000110111…
…00000111010110010000
31202011122211022100100200
413023203130013112100
531041032132214104
61014403440015200
750435645250540
oct7134334072620
91664584270320
10493442069904
111802a4203563
127b770901500
13376ba5c6174
1419c5029d320
15cc8003cb39
hex72e3707590

493442069904 has 240 divisors, whose sum is σ = 1676046797568. Its totient is φ = 132295016448.

The previous prime is 493442069891. The next prime is 493442069941. The reversal of 493442069904 is 409960244394.

It is a happy number.

493442069904 is a `hidden beast` number, since 4 + 9 + 344 + 206 + 9 + 90 + 4 = 666.

It is a super-2 number, since 2×4934420699042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5732109 + ... + 5817555.

Almost surely, 2493442069904 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 493442069904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838023398784).

493442069904 is an abundant number, since it is smaller than the sum of its proper divisors (1182604727664).

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

493442069904 is a wasteful number, since it uses less digits than its factorization.

493442069904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85822 (or 85813 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 493442069904 in words is "four hundred ninety-three billion, four hundred forty-two million, sixty-nine thousand, nine hundred four".