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2134324512 = 25332938431
BaseRepresentation
bin111111100110111…
…0011010100100000
312111202002220211000
41333031303110200
513332341341022
6551441552000
7103614313305
oct17715632440
95452086730
102134324512
119a5852661
124b6945600
13280248318
141636630ac
15c75976ac
hex7f373520

2134324512 has 96 divisors (see below), whose sum is σ = 6247100160. Its totient is φ = 708929280.

The previous prime is 2134324471. The next prime is 2134324523. The reversal of 2134324512 is 2154234312.

2134324512 is a `hidden beast` number, since 213 + 432 + 4 + 5 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21343245122 = 9110682245048076288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 248937 + ... + 257367.

It is an arithmetic number, because the mean of its divisors is an integer number (65073960).

Almost surely, 22134324512 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 2134324512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123550080).

2134324512 is an abundant number, since it is smaller than the sum of its proper divisors (4112775648).

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

2134324512 is a wasteful number, since it uses less digits than its factorization.

2134324512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8743 (or 8729 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2134324512 is about 46198.7501129630. The cubic root of 2134324512 is about 1287.5185178723.

Adding to 2134324512 its reverse (2154234312), we get a palindrome (4288558824).

The spelling of 2134324512 in words is "two billion, one hundred thirty-four million, three hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 293 432 586 864 879 1172 1758 2344 2637 3516 4688 5274 7032 7911 8431 9376 10548 14064 15822 16862 21096 25293 28128 31644 33724 42192 50586 63288 67448 75879 84384 101172 126576 134896 151758 202344 227637 253152 269792 303516 404688 455274 607032 809376 910548 1214064 1821096 2428128 2470283 3642192 4940566 7284384 7410849 9881132 14821698 19762264 22232547 29643396 39524528 44465094 59286792 66697641 79049056 88930188 118573584 133395282 177860376 237147168 266790564 355720752 533581128 711441504 1067162256 2134324512