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2148644124 = 2233114342061
BaseRepresentation
bin1000000000010001…
…1011010100011100
312112202001102122000
42000010123110130
513400023102444
6553112522300
7104150113404
oct20004332434
95482042560
102148644124
11a02943150
124bb6b0390
132831c0073
1416550d804
15c8975469
hex8011b51c

2148644124 has 96 divisors (see below), whose sum is σ = 6218446080. Its totient is φ = 635947200.

The previous prime is 2148644111. The next prime is 2148644129. The reversal of 2148644124 is 4214468412.

2148644124 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 644 + 1 + 2 + 4 = 666.

It is a super-3 number, since 3×21486441243 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148644129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30054 + ... + 72114.

It is an arithmetic number, because the mean of its divisors is an integer number (64775480).

Almost surely, 22148644124 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 2148644124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109223040).

2148644124 is an abundant number, since it is smaller than the sum of its proper divisors (4069801956).

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

2148644124 is a wasteful number, since it uses less digits than its factorization.

2148644124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42128 (or 42120 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 2148644124 is about 46353.4693847181. The cubic root of 2148644124 is about 1290.3915090738.

The spelling of 2148644124 in words is "two billion, one hundred forty-eight million, six hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 66 86 99 108 129 132 172 198 258 297 387 396 473 516 594 774 946 1161 1188 1419 1548 1892 2322 2838 4257 4644 5676 8514 12771 17028 25542 42061 51084 84122 126183 168244 252366 378549 462671 504732 757098 925342 1135647 1388013 1514196 1808623 1850684 2271294 2776026 3617246 4164039 4542588 5425869 5552052 7234492 8328078 10851738 12492117 16277607 16656156 19894853 21703476 24984234 32555214 39789706 48832821 49968468 59684559 65110428 79579412 97665642 119369118 179053677 195331284 238738236 358107354 537161031 716214708 1074322062 2148644124