Search a number
-
+
482414297307712 = 267112178915138953
BaseRepresentation
bin110110110110000001101010…
…0110100110101101001000000
32100021002100121211102211210221
41231230003110310311221000
51001212333440102321322
64430002022501432424
7203420166001424650
oct15554032464655100
92307070554384727
10482414297307712
1112a791833351900
124613315810b714
131792461c358a53
14871ad959da360
153ab8a826ec9c7
hex1b6c0d4d35a40

482414297307712 has 672 divisors, whose sum is σ = 1296152229818880. Its totient is φ = 173747109888000.

The previous prime is 482414297307659. The next prime is 482414297307721. The reversal of 482414297307712 is 217703792414284.

It is a super-2 number, since 2×4824142973077122 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12384502828 + ... + 12384541780.

It is an arithmetic number, because the mean of its divisors is an integer number (1928797961040).

Almost surely, 2482414297307712 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 482414297307712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648076114909440).

482414297307712 is an abundant number, since it is smaller than the sum of its proper divisors (813737932511168).

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

482414297307712 is a wasteful number, since it uses less digits than its factorization.

482414297307712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39251 (or 39230 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 61.

The spelling of 482414297307712 in words is "four hundred eighty-two trillion, four hundred fourteen billion, two hundred ninety-seven million, three hundred seven thousand, seven hundred twelve".