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2164348524 = 2231326131741
BaseRepresentation
bin1000000100000001…
…0101011001101100
312120211121022000110
42001000111121230
513413033123044
6554433300020
7104430442002
oct20100253154
95524538013
102164348524
11a1079a098
12504a04610
1328652b200
1416763aa72
15ca0286b9
hex8101566c

2164348524 has 72 divisors (see below), whose sum is σ = 5480568912. Its totient is φ = 664485120.

The previous prime is 2164348517. The next prime is 2164348601. The reversal of 2164348524 is 4258434612.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1242294 + ... + 1244034.

Almost surely, 22164348524 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 2164348524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740284456).

2164348524 is an abundant number, since it is smaller than the sum of its proper divisors (3316220388).

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

2164348524 is a wasteful number, since it uses less digits than its factorization.

2164348524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2372 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 2164348524 is about 46522.5593019129. The cubic root of 2164348524 is about 1293.5276965190.

The spelling of 2164348524 in words is "two billion, one hundred sixty-four million, three hundred forty-eight thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 613 676 1014 1226 1741 1839 2028 2452 3482 3678 5223 6964 7356 7969 10446 15938 20892 22633 23907 31876 45266 47814 67899 90532 95628 103597 135798 207194 271596 294229 310791 414388 588458 621582 882687 1067233 1176916 1243164 1765374 2134466 3201699 3530748 4268932 6403398 12806796 13874029 27748058 41622087 55496116 83244174 166488348 180362377 360724754 541087131 721449508 1082174262 2164348524