Search a number
-
+
649923181056 = 293514935059
BaseRepresentation
bin10010111010100100111…
…00001011101000000000
32022010120021010102100000
421131102130023220000
541122020313243211
61214323125200000
764645462613562
oct11352234135000
92263507112300
10649923181056
112306a3768416
12a5b61b60000
1349397811a26
14236566d9332
1511d8cadb656
hex975270ba00

649923181056 has 240 divisors, whose sum is σ = 1958304348000. Its totient is φ = 215180955648.

The previous prime is 649923181031. The next prime is 649923181057. The reversal of 649923181056 is 650181329946.

649923181056 is a `hidden beast` number, since 6 + 499 + 23 + 1 + 81 + 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 = 649923180993 and 649923181011.

It is not an unprimeable number, because it can be changed into a prime (649923181057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18520455 + ... + 18555513.

It is an arithmetic number, because the mean of its divisors is an integer number (8159601450).

Almost surely, 2649923181056 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 649923181056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979152174000).

649923181056 is an abundant number, since it is smaller than the sum of its proper divisors (1308381166944).

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

649923181056 is an equidigital number, since it uses as much as digits as its factorization.

649923181056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35241 (or 35213 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 649923181056 in words is "six hundred forty-nine billion, nine hundred twenty-three million, one hundred eighty-one thousand, fifty-six".