Search a number
-
+
497949037056 = 293949411
BaseRepresentation
bin1110011111100000001…
…00110101001000000000
31202121021220222000000000
413033300010311020000
531124244423141211
61020431000000000
750655432656502
oct7176004651000
91677256860000
10497949037056
111821a72826a9
128060a160000
1337c5826bc33
141a15aa9dd72
15ce45a55656
hex73f0135200

497949037056 has 200 divisors, whose sum is σ = 1492393205424. Its totient is φ = 165979653120.

The previous prime is 497949037051. The next prime is 497949037067. The reversal of 497949037056 is 650730949794.

497949037056 is a `hidden beast` number, since 4 + 9 + 79 + 490 + 3 + 70 + 5 + 6 = 666.

It is a super-2 number, since 2×4979490370562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 497949036984 and 497949037002.

It is not an unprimeable number, because it can be changed into a prime (497949037051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10052991 + ... + 10102401.

Almost surely, 2497949037056 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 497949037056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746196602712).

497949037056 is an abundant number, since it is smaller than the sum of its proper divisors (994444168368).

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

497949037056 is an frugal number, since it uses more digits than its factorization.

497949037056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49456 (or 49416 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 497949037056 in words is "four hundred ninety-seven billion, nine hundred forty-nine million, thirty-seven thousand, fifty-six".