Search a number
-
+
1649484656640 = 21233514532053
BaseRepresentation
bin11000000000001100111…
…100100111000000000000
312211200121102101111102000
4120000030330213000000
5204011121033003030
63301432432424000
7230112524150022
oct30001474470000
95750542344360
101649484656640
115865a70a5437
122278210a8000
13bc712c9ac62
1459b9a7d0012
152cd90ace860
hex1800cf27000

1649484656640 has 416 divisors, whose sum is σ = 5871012613440. Its totient is φ = 439345741824.

The previous prime is 1649484656629. The next prime is 1649484656647. The reversal of 1649484656640 is 466564849461.

It is a happy number.

1649484656640 is a `hidden beast` number, since 1 + 6 + 49 + 484 + 6 + 56 + 64 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1649484656647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803449854 + ... + 803451906.

It is an arithmetic number, because the mean of its divisors is an integer number (14113011090).

Almost surely, 21649484656640 is an apocalyptic number.

1649484656640 is a gapful number since it is divisible by the number (10) 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 1649484656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935506306720).

1649484656640 is an abundant number, since it is smaller than the sum of its proper divisors (4221527956800).

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

1649484656640 is a wasteful number, since it uses less digits than its factorization.

1649484656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 1649484656640 in words is "one trillion, six hundred forty-nine billion, four hundred eighty-four million, six hundred fifty-six thousand, six hundred forty".