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3649073652 = 2236719972
BaseRepresentation
bin1101100110000000…
…0111000111110100
3100102022101011000000
43121200013013310
524433130324102
61402032151300
7156266420460
oct33140070764
910368334000
103649073652
111602897054
1285a098530
134620029a3
142688c54a0
1516555701c
hexd98071f4

3649073652 has 252 divisors, whose sum is σ = 11638089120. Its totient is φ = 977536512.

The previous prime is 3649073609. The next prime is 3649073653. The reversal of 3649073652 is 2563709463.

3649073652 is a `hidden beast` number, since 36 + 490 + 73 + 65 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 3649073598 and 3649073607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3649073653) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 37619268 + ... + 37619364.

Almost surely, 23649073652 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 3649073652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819044560).

3649073652 is an abundant number, since it is smaller than the sum of its proper divisors (7989015468).

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

3649073652 is an equidigital number, since it uses as much as digits as its factorization.

3649073652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3649073652 is about 60407.5628708856. The cubic root of 3649073652 is about 1539.5514592959.

The spelling of 3649073652 in words is "three billion, six hundred forty-nine million, seventy-three thousand, six hundred fifty-two".