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18443929824 = 2533110919249
BaseRepresentation
bin10001001011010110…
…000000100011100000
31202121101111201021000
4101023112000203200
5300233121223244
612250101232000
71222025550105
oct211326004340
952541451230
1018443929824
117905132511
1236a8a02600
13197c1b3358
14c6d788aac
1572e348169
hex44b5808e0

18443929824 has 96 divisors (see below), whose sum is σ = 53846100000. Its totient is φ = 6142113792.

The previous prime is 18443929783. The next prime is 18443929837. The reversal of 18443929824 is 42892934481.

It is a happy number.

18443929824 is a `hidden beast` number, since 1 + 8 + 443 + 92 + 98 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948552 + ... + 967800.

It is an arithmetic number, because the mean of its divisors is an integer number (560896875).

Almost surely, 218443929824 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 18443929824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26923050000).

18443929824 is an abundant number, since it is smaller than the sum of its proper divisors (35402170176).

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

18443929824 is a wasteful number, since it uses less digits than its factorization.

18443929824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20377 (or 20363 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 18443929824 in words is "eighteen billion, four hundred forty-three million, nine hundred twenty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1109 2218 3327 4436 6654 8872 9981 13308 17744 19249 19962 26616 29943 35488 38498 39924 53232 57747 59886 76996 79848 106464 115494 119772 153992 159696 173241 230988 239544 307984 319392 346482 461976 479088 519723 615968 692964 923952 958176 1039446 1385928 1847904 2078892 2771856 4157784 5543712 8315568 16631136 21347141 42694282 64041423 85388564 128082846 170777128 192124269 256165692 341554256 384248538 512331384 576372807 683108512 768497076 1024662768 1152745614 1536994152 2049325536 2305491228 3073988304 4610982456 6147976608 9221964912 18443929824