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2156133312 = 26324578191
BaseRepresentation
bin1000000010000011…
…1111101111000000
312120021010220212100
42000200333233000
513403432231222
6553541230400
7104300554644
oct20040775700
95507126770
102156133312
11a07098963
12502102400
13284912b38
141664dcc24
15c94544ac
hex8083fbc0

2156133312 has 84 divisors (see below), whose sum is σ = 6194446336. Its totient is φ = 717050880.

The previous prime is 2156133311. The next prime is 2156133337. The reversal of 2156133312 is 2133316512.

2156133312 is a `hidden beast` number, since 2 + 1 + 5 + 613 + 33 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156133311) 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 11 ways as a sum of consecutive naturals, for example, 259137 + ... + 267327.

Almost surely, 22156133312 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 2156133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097223168).

2156133312 is an abundant number, since it is smaller than the sum of its proper divisors (4038313024).

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

2156133312 is a wasteful number, since it uses less digits than its factorization.

2156133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8666 (or 8653 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 2156133312 is about 46434.1825813699. The cubic root of 2156133312 is about 1291.8890082200.

Adding to 2156133312 its reverse (2133316512), we get a palindrome (4289449824).

The spelling of 2156133312 in words is "two billion, one hundred fifty-six million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 457 576 914 1371 1828 2742 3656 4113 5484 7312 8191 8226 10968 14624 16382 16452 21936 24573 29248 32764 32904 43872 49146 65528 65808 73719 87744 98292 131056 131616 147438 196584 262112 263232 294876 393168 524224 589752 786336 1179504 1572672 2359008 3743287 4718016 7486574 11229861 14973148 22459722 29946296 33689583 44919444 59892592 67379166 89838888 119785184 134758332 179677776 239570368 269516664 359355552 539033328 718711104 1078066656 2156133312