Search a number
-
+
317350068480 = 283555917293
BaseRepresentation
bin1001001111000111000…
…10011100000100000000
31010100010200010211100000
410213203202130010000
520144413104142410
6401442201200000
731633142034354
oct4474342340400
91110120124300
10317350068480
11112650927575
1251607a90000
1323c06500413
1411507509464
1583c5984dc0
hex49e389c100

317350068480 has 432 divisors, whose sum is σ = 1158031143360. Its totient is φ = 83187523584.

The previous prime is 317350068463. The next prime is 317350068559. The reversal of 317350068480 is 84860053713.

317350068480 is a `hidden beast` number, since 3 + 1 + 7 + 3 + 500 + 68 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3173500684802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18342714 + ... + 18360006.

Almost surely, 2317350068480 is an apocalyptic number.

317350068480 is a gapful number since it is divisible by the number (30) 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 317350068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579015571680).

317350068480 is an abundant number, since it is smaller than the sum of its proper divisors (840681074880).

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

317350068480 is an equidigital number, since it uses as much as digits as its factorization.

317350068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17388 (or 17362 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 317350068480 in words is "three hundred seventeen billion, three hundred fifty million, sixty-eight thousand, four hundred eighty".