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2127327664 = 247116128307
BaseRepresentation
bin111111011001100…
…0111000110110000
312111020221102221111
41332303013012300
513324043441124
6551032003104
7103500662320
oct17663070660
95436842844
102127327664
119a1903840
124b4530494
1327b968687
14162761280
15c6b64494
hex7ecc71b0

2127327664 has 80 divisors (see below), whose sum is σ = 5223165696. Its totient is φ = 815212800.

The previous prime is 2127327637. The next prime is 2127327679. The reversal of 2127327664 is 4667237212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60999 + ... + 89305.

Almost surely, 22127327664 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 2127327664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611582848).

2127327664 is an abundant number, since it is smaller than the sum of its proper divisors (3095838032).

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

2127327664 is a wasteful number, since it uses less digits than its factorization.

2127327664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28394 (or 28388 counting only the distinct ones).

The product of its digits is 169344, while the sum is 40.

The square root of 2127327664 is about 46122.9624373804. The cubic root of 2127327664 is about 1286.1100420449.

The spelling of 2127327664 in words is "two billion, one hundred twenty-seven million, three hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 61 77 88 112 122 154 176 244 308 427 488 616 671 854 976 1232 1342 1708 2684 3416 4697 5368 6832 9394 10736 18788 28307 37576 56614 75152 113228 198149 226456 311377 396298 452912 622754 792596 1245508 1585192 1726727 2179639 2491016 3170384 3453454 4359278 4982032 6906908 8718556 12087089 13813816 17437112 18993997 24174178 27627632 34874224 37987994 48348356 75975988 96696712 132957979 151951976 193393424 265915958 303903952 531831916 1063663832 2127327664