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493868249784 = 2332713231359521
BaseRepresentation
bin1110010111111001101…
…01110111001010111000
31202012202112020112020200
413023330311313022320
531042420232443114
61014514022322200
750452341600510
oct7137465671270
91665675215220
10493868249784
111804a282a838
127b86b589360
13377579a2a00
1419c90b1a840
15cca7673409
hex72fcd772b8

493868249784 has 576 divisors, whose sum is σ = 1716716851200. Its totient is φ = 125456947200.

The previous prime is 493868249779. The next prime is 493868249873. The reversal of 493868249784 is 487942868394.

493868249784 is a `hidden beast` number, since 4 + 9 + 386 + 82 + 4 + 97 + 84 = 666.

It is a super-2 number, since 2×4938682497842 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 947923444 + ... + 947923964.

It is an arithmetic number, because the mean of its divisors is an integer number (2980411200).

Almost surely, 2493868249784 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 493868249784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858358425600).

493868249784 is an abundant number, since it is smaller than the sum of its proper divisors (1222848601416).

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

493868249784 is a wasteful number, since it uses less digits than its factorization.

493868249784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 936 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 493868249784 in words is "four hundred ninety-three billion, eight hundred sixty-eight million, two hundred forty-nine thousand, seven hundred eighty-four".