Search a number
-
+
482297131008 = 2123572112931
BaseRepresentation
bin1110000010010110010…
…01100011000000000000
31201002220010010210100000
413001023021203000000
530400221031143013
61005321513200000
746562525654400
oct7011311430000
91632803123300
10482297131008
111765a517aa60
1279580400000
1336632652474
14194b4060800
15c82b8bd973
hex704b263000

482297131008 has 1872 divisors, whose sum is σ = 1957787919360. Its totient is φ = 117050572800.

The previous prime is 482297130919. The next prime is 482297131031. The reversal of 482297131008 is 800131792284.

It is a happy number.

482297131008 is a `hidden beast` number, since 48 + 2 + 297 + 1 + 310 + 0 + 8 = 666.

It is a super-2 number, since 2×4822971310082 (a number of 24 digits) contains 22 as substring.

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, 15557971953 + ... + 15557971983.

It is an arithmetic number, because the mean of its divisors is an integer number (1045826880).

Almost surely, 2482297131008 is an apocalyptic number.

482297131008 is a gapful number since it is divisible by the number (48) 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 482297131008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978893959680).

482297131008 is an abundant number, since it is smaller than the sum of its proper divisors (1475490788352).

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

482297131008 is a wasteful number, since it uses less digits than its factorization.

482297131008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

482297131008 divided by its product of nonzero digits (193536) gives a triangular number (2492028 = T2232).

The spelling of 482297131008 in words is "four hundred eighty-two billion, two hundred ninety-seven million, one hundred thirty-one thousand, eight".