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649849892328 = 23327131918312851
BaseRepresentation
bin10010111010011100001…
…00100110110111101000
32022010101011012222002200
421131032010212313220
541121343033023303
61214311550300200
764643612642040
oct11351604466750
92263334188080
10649849892328
1123066636051a
12a5b414b7660
1349385591310
142364aa9c720
1511d864613a3
hex974e126de8

649849892328 has 384 divisors, whose sum is σ = 2282220595200. Its totient is φ = 162222912000.

The previous prime is 649849892317. The next prime is 649849892359. The reversal of 649849892328 is 823298948946.

649849892328 is a `hidden beast` number, since 6 + 4 + 98 + 498 + 9 + 23 + 28 = 666.

649849892328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6498498923283 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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, 227936103 + ... + 227938953.

It is an arithmetic number, because the mean of its divisors is an integer number (5943282800).

Almost surely, 2649849892328 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 649849892328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141110297600).

649849892328 is an abundant number, since it is smaller than the sum of its proper divisors (1632370702872).

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

649849892328 is a wasteful number, since it uses less digits than its factorization.

649849892328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733 (or 4726 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 649849892328 in words is "six hundred forty-nine billion, eight hundred forty-nine million, eight hundred ninety-two thousand, three hundred twenty-eight".