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493868963280 = 2435711231109719
BaseRepresentation
bin1110010111111001110…
…00100101010111010000
31202012202120120202222110
413023330320211113100
531042420423311110
61014514045505320
750452350631620
oct7137470452720
91665676522873
10493868963280
111804a3177900
127b86b872240
1337757b926b4
1419c90c64880
15cca7764a20
hex72fce255d0

493868963280 has 960 divisors, whose sum is σ = 2006271590400. Its totient is φ = 98263756800.

The previous prime is 493868963239. The next prime is 493868963317. The reversal of 493868963280 is 82369868394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 686882761 + ... + 686883479.

It is an arithmetic number, because the mean of its divisors is an integer number (2089866240).

Almost surely, 2493868963280 is an apocalyptic number.

493868963280 is a gapful number since it is divisible by the number (40) 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 493868963280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003135795200).

493868963280 is an abundant number, since it is smaller than the sum of its proper divisors (1512402627120).

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

493868963280 is a wasteful number, since it uses less digits than its factorization.

493868963280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 66.

The spelling of 493868963280 in words is "four hundred ninety-three billion, eight hundred sixty-eight million, nine hundred sixty-three thousand, two hundred eighty".