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2156189152 = 251317509599
BaseRepresentation
bin1000000010000100…
…1101010111100000
312120021020202110111
42000201031113200
513403441023102
6553542341104
7104301206515
oct20041152740
95507222414
102156189152
11a07126907
1250212a794
13284932390
1416651530c
15c9465cd7
hex8084d5e0

2156189152 has 96 divisors (see below), whose sum is σ = 4858056000. Its totient is φ = 933224448.

The previous prime is 2156189111. The next prime is 2156189153. The reversal of 2156189152 is 2519816512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156189153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3599349 + ... + 3599947.

It is an arithmetic number, because the mean of its divisors is an integer number (50604750).

Almost surely, 22156189152 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 2156189152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429028000).

2156189152 is an abundant number, since it is smaller than the sum of its proper divisors (2701866848).

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

2156189152 is a wasteful number, since it uses less digits than its factorization.

2156189152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1140 counting only the distinct ones).

The product of its digits is 43200, while the sum is 40.

The square root of 2156189152 is about 46434.7838586549. The cubic root of 2156189152 is about 1291.9001606627.

The spelling of 2156189152 in words is "two billion, one hundred fifty-six million, one hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 509 544 599 884 1018 1198 1768 2036 2396 3536 4072 4792 6617 7072 7787 8144 8653 9584 10183 13234 15574 16288 17306 19168 20366 26468 31148 34612 40732 52936 62296 69224 81464 105872 112489 124592 132379 138448 162928 211744 224978 249184 264758 276896 304891 325856 449956 529516 609782 899912 1059032 1219564 1799824 2118064 2439128 3599648 3963583 4236128 4878256 5183147 7927166 9756512 10366294 15854332 20732588 31708664 41465176 63417328 67380911 82930352 126834656 134761822 165860704 269523644 539047288 1078094576 2156189152