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18876868192 = 2572133129873
BaseRepresentation
bin10001100101001001…
…100010011001100000
31210201120011021001101
4101211021202121200
5302124434240232
612401044444144
71235533506100
oct214511423140
953646137041
1018876868192
118007555516
1237a99a9654
131a1aab81c0
14cb1085200
157573661e7
hex465262660

18876868192 has 144 divisors (see below), whose sum is σ = 48060335232. Its totient is φ = 7226634240.

The previous prime is 18876868133. The next prime is 18876868207. The reversal of 18876868192 is 29186867881.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 616968 + ... + 646840.

It is an arithmetic number, because the mean of its divisors is an integer number (333752328).

Almost surely, 218876868192 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 18876868192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24030167616).

18876868192 is an abundant number, since it is smaller than the sum of its proper divisors (29183467040).

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

18876868192 is a wasteful number, since it uses less digits than its factorization.

18876868192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29941 (or 29926 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 64.

The spelling of 18876868192 in words is "eighteen billion, eight hundred seventy-six million, eight hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 49 52 56 62 91 98 104 112 124 182 196 208 217 224 248 364 392 403 416 434 496 637 728 784 806 868 992 1274 1456 1519 1568 1612 1736 2548 2821 2912 3038 3224 3472 5096 5642 6076 6448 6944 10192 11284 12152 12896 19747 20384 22568 24304 29873 39494 45136 48608 59746 78988 90272 119492 157976 209111 238984 315952 388349 418222 477968 631904 776698 836444 926063 955936 1463777 1553396 1672888 1852126 2718443 2927554 3106792 3345776 3704252 5436886 5855108 6213584 6482441 6691552 7408504 10873772 11710216 12038819 12427168 12964882 14817008 19029101 21747544 23420432 24077638 25929764 29634016 38058202 43495088 45377087 46840864 48155276 51859528 76116404 84271733 86990176 90754174 96310552 103719056 152232808 168543466 181508348 192621104 207438112 304465616 337086932 363016696 385242208 589902131 608931232 674173864 726033392 1179804262 1348347728 1452066784 2359608524 2696695456 4719217048 9438434096 18876868192