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3656984064 = 29315432
BaseRepresentation
bin1101100111111001…
…0010011000000000
3100102212021001001020
43121332102120000
524442141442224
61402513505440
7156423565056
oct33176223000
910385231036
103656984064
1116072aa288
12860872280
134638423c6
142699841d6
151660bac79
hexd9f92600

3656984064 has 60 divisors (see below), whose sum is σ = 9748752156. Its totient is φ = 1218204672.

The previous prime is 3656984041. The next prime is 3656984069. The reversal of 3656984064 is 4604896563.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3656983998 and 3656984016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3656984069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2369277 + ... + 2370819.

Almost surely, 23656984064 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 3656984064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874376078).

3656984064 is an abundant number, since it is smaller than the sum of its proper divisors (6091768092).

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

3656984064 is an frugal number, since it uses more digits than its factorization.

3656984064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The square root of 3656984064 is about 60473.0027698311. The cubic root of 3656984064 is about 1540.6631292668.

The spelling of 3656984064 in words is "three billion, six hundred fifty-six million, nine hundred eighty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 1543 3086 4629 6172 9258 12344 18516 24688 37032 49376 74064 98752 148128 197504 296256 395008 592512 790016 1185024 2370048 2380849 4761698 7142547 9523396 14285094 19046792 28570188 38093584 57140376 76187168 114280752 152374336 228561504 304748672 457123008 609497344 914246016 1218994688 1828492032 3656984064