Search a number
-
+
211426184032 = 2572342619631
BaseRepresentation
bin1100010011100111111…
…0111000101101100000
3202012201122122222022121
43010321332320231200
511431000100342112
6241043340514024
721163223624620
oct3047176705540
9665648588277
10211426184032
11817356293a8
1234b8624b914
1316c2562520b
14a339810880
15577664a407
hex3139fb8b60

211426184032 has 96 divisors (see below), whose sum is σ = 496559960064. Its totient is φ = 86642265600.

The previous prime is 211426183879. The next prime is 211426184033. The reversal of 211426184032 is 230481624112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211426184033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21947857 + ... + 21957487.

It is an arithmetic number, because the mean of its divisors is an integer number (5172499584).

Almost surely, 2211426184032 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 211426184032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248279980032).

211426184032 is an abundant number, since it is smaller than the sum of its proper divisors (285133776032).

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

211426184032 is a wasteful number, since it uses less digits than its factorization.

211426184032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13932 (or 13924 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 211426184032 in words is "two hundred eleven billion, four hundred twenty-six million, one hundred eighty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 4261 5152 8522 9631 17044 19262 29827 34088 38524 59654 67417 68176 77048 98003 119308 134834 136352 154096 196006 221513 238616 269668 308192 392012 443026 477232 539336 686021 784024 886052 954464 1078672 1372042 1550591 1568048 1772104 2157344 2744084 3101182 3136096 3544208 5488168 6202364 7088416 10976336 12404728 21952672 24809456 41037691 49618912 82075382 164150764 287263837 328301528 574527674 656603056 943866893 1149055348 1313206112 1887733786 2298110696 3775467572 4596221392 6607068251 7550935144 9192442784 13214136502 15101870288 26428273004 30203740576 52856546008 105713092016 211426184032