Search a number
-
+
497122297056 = 253371121935753
BaseRepresentation
bin1110011101111101100…
…11000100010011100000
31202112011022022020221000
413032332303010103200
531121101302001211
61020212544032000
750626103543010
oct7167663042340
91675138266830
10497122297056
11181912638700
1280419302600
1337b55bb5b78
141a0bcd73c40
15cde819a656
hex73becc44e0

497122297056 has 576 divisors, whose sum is σ = 1917329702400. Its totient is φ = 122323322880.

The previous prime is 497122297031. The next prime is 497122297103. The reversal of 497122297056 is 650792221794.

497122297056 is a `hidden beast` number, since 497 + 12 + 2 + 2 + 97 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 497122296993 and 497122297011.

It is a congruent number.

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, 13886476 + ... + 13922228.

It is an arithmetic number, because the mean of its divisors is an integer number (3328697400).

Almost surely, 2497122297056 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 497122297056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958664851200).

497122297056 is an abundant number, since it is smaller than the sum of its proper divisors (1420207405344).

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

497122297056 is a wasteful number, since it uses less digits than its factorization.

497122297056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35820 (or 35795 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 497122297056 in words is "four hundred ninety-seven billion, one hundred twenty-two million, two hundred ninety-seven thousand, fifty-six".