Search a number
-
+
20004145524 = 223211531396857
BaseRepresentation
bin10010101000010101…
…110000100101110100
31220122010022212211200
4102220111300211310
5311432030124044
613104554132500
71305502300656
oct225025604564
956563285750
1020004145524
118535900680
123a63421130
131b6a4c97cc
14d7aa846d6
157c12d9369
hex4a8570974

20004145524 has 144 divisors (see below), whose sum is σ = 56616356160. Its totient is φ = 5903838720.

The previous prime is 20004145523. The next prime is 20004145529. The reversal of 20004145524 is 42554140002.

20004145524 is a `hidden beast` number, since 200 + 0 + 4 + 1 + 455 + 2 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20004145523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2913904 + ... + 2920760.

It is an arithmetic number, because the mean of its divisors is an integer number (393169140).

Almost surely, 220004145524 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 20004145524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28308178080).

20004145524 is an abundant number, since it is smaller than the sum of its proper divisors (36612210636).

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

20004145524 is a wasteful number, since it uses less digits than its factorization.

20004145524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7070 (or 7065 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 20004145524 its reverse (42554140002), we get a palindrome (62558285526).

The spelling of 20004145524 in words is "twenty billion, four million, one hundred forty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 139 159 198 212 278 318 396 417 477 556 583 636 834 954 1166 1251 1529 1668 1749 1908 2332 2502 3058 3498 4587 5004 5247 6116 6857 6996 7367 9174 10494 13714 13761 14734 18348 20571 20988 22101 27428 27522 29468 41142 44202 55044 61713 66303 75427 81037 82284 88404 123426 132606 150854 162074 226281 243111 246852 265212 301708 324148 363421 452562 486222 678843 726842 729333 905124 953123 972444 1090263 1357686 1453684 1458666 1906246 2180526 2715372 2859369 2917332 3270789 3812492 3997631 4361052 5718738 6541578 7995262 8578107 10484353 11437476 11992893 13083156 15990524 17156214 20968706 23985786 31453059 34312428 35978679 41937412 47971572 50515519 62906118 71957358 94359177 101031038 125812236 143914716 151546557 188718354 202062076 303093114 377436708 454639671 555670709 606186228 909279342 1111341418 1667012127 1818558684 2222682836 3334024254 5001036381 6668048508 10002072762 20004145524