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1649695680 = 26335414657
BaseRepresentation
bin110001001010100…
…0101101111000000
311020222012020001000
41202111011233000
511334310230210
6431410412000
755611116253
oct14225055700
94228166030
101649695680
11777234866
123a0591000
13203a157b9
1411914d09a
1599c68ac0
hex62545bc0

1649695680 has 224 divisors, whose sum is σ = 5962985280. Its totient is φ = 429096960.

The previous prime is 1649695669. The next prime is 1649695681. The reversal of 1649695680 is 865969461.

It is a happy number.

1649695680 is a `hidden beast` number, since 1 + 6 + 496 + 95 + 68 + 0 = 666.

It is a super-2 number, since 2×16496956802 = 5442991673221324800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1649695681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351912 + ... + 356568.

It is an arithmetic number, because the mean of its divisors is an integer number (26620470).

Almost surely, 21649695680 is an apocalyptic number.

1649695680 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 1649695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981492640).

1649695680 is an abundant number, since it is smaller than the sum of its proper divisors (4313289600).

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

1649695680 is a wasteful number, since it uses less digits than its factorization.

1649695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724 (or 4708 counting only the distinct ones).

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

The square root of 1649695680 is about 40616.4459301894. The cubic root of 1649695680 is about 1181.5930986228.

The spelling of 1649695680 in words is "one billion, six hundred forty-nine million, six hundred ninety-five thousand, six hundred eighty".