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2129724852 = 223292281751
BaseRepresentation
bin111111011110001…
…0000010110110100
312111102110020021020
41332330100112310
513330202143402
6551155221140
7103530235233
oct17674202664
95442406236
102129724852
119a31a0892
124b52a77b0
1327c2c7828
14162bc6b1a
15c6e898bc
hex7ef105b4

2129724852 has 72 divisors (see below), whose sum is σ = 5171816832. Its totient is φ = 682080000.

The previous prime is 2129724851. The next prime is 2129724853. The reversal of 2129724852 is 2584279212.

It is an interprime number because it is at equal distance from previous prime (2129724851) and next prime (2129724853).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129724851) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2835477 + ... + 2836227.

Almost surely, 22129724852 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 2129724852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585908416).

2129724852 is an abundant number, since it is smaller than the sum of its proper divisors (3042091980).

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

2129724852 is a wasteful number, since it uses less digits than its factorization.

2129724852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1066 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 2129724852 is about 46148.9420463785. The cubic root of 2129724852 is about 1286.5929468473.

The spelling of 2129724852 in words is "two billion, one hundred twenty-nine million, seven hundred twenty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 281 348 562 751 841 843 1124 1502 1682 1686 2253 2523 3004 3364 3372 4506 5046 8149 9012 10092 16298 21779 24447 32596 43558 48894 65337 87116 97788 130674 211031 236321 261348 422062 472642 631591 633093 708963 844124 945284 1263182 1266186 1417926 1894773 2526364 2532372 2835852 3789546 6119899 7579092 12239798 18359697 24479596 36719394 73438788 177477071 354954142 532431213 709908284 1064862426 2129724852