Search a number
-
+
494738434560 = 29352316317183
BaseRepresentation
bin1110011001100001011…
…01010110101000000000
31202022000011122111100110
413030300231112220000
531101211014401220
61015140225351320
750513036210406
oct7146055265000
91668004574313
10494738434560
111808a9a48507
127ba72a98540
133786605a546
1419d34515476
15cd08c60be0
hex7330b56a00

494738434560 has 320 divisors, whose sum is σ = 1660604571648. Its totient is φ = 125412655104.

The previous prime is 494738434559. The next prime is 494738434661. The reversal of 494738434560 is 65434837494.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×4947384345602 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 494738434560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28783729 + ... + 28800911.

Almost surely, 2494738434560 is an apocalyptic number.

494738434560 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 494738434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830302285824).

494738434560 is an abundant number, since it is smaller than the sum of its proper divisors (1165866137088).

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

494738434560 is a wasteful number, since it uses less digits than its factorization.

494738434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17395 (or 17379 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 494738434560 in words is "four hundred ninety-four billion, seven hundred thirty-eight million, four hundred thirty-four thousand, five hundred sixty".