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90003754344 = 23372936235099
BaseRepresentation
bin101001111010010100…
…1000100110101101000
322121022111221110010010
41103310221010311220
52433311430114334
6105202552451520
76334243201110
oct1236451046550
9277274843103
1090003754344
1135196855859
121553a0a9ba0
13864483809a
1444db5d8040
15251b86e0e9
hex14f4a44d68

90003754344 has 128 divisors (see below), whose sum is σ = 266146560000. Its totient is φ = 24816900864.

The previous prime is 90003754331. The next prime is 90003754367. The reversal of 90003754344 is 44345730009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17648707 + ... + 17653805.

It is an arithmetic number, because the mean of its divisors is an integer number (2079270000).

Almost surely, 290003754344 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 90003754344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133073280000).

90003754344 is an abundant number, since it is smaller than the sum of its proper divisors (176142805656).

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

90003754344 is a wasteful number, since it uses less digits than its factorization.

90003754344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8767 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 90003754344 in words is "ninety billion, three million, seven hundred fifty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 3623 4872 5099 7246 10198 10869 14492 15297 20396 21738 25361 28984 30594 35693 40792 43476 50722 61188 71386 76083 86952 101444 105067 107079 122376 142772 147871 152166 202888 210134 214158 285544 295742 304332 315201 420268 428316 443613 591484 608664 630402 735469 840536 856632 887226 1035097 1182968 1260804 1470938 1774452 2070194 2206407 2521608 2941876 3105291 3548904 4140388 4412814 5883752 6210582 8280776 8825628 12421164 17651256 18473677 24842328 36947354 55421031 73894708 110842062 129315739 147789416 221684124 258631478 387947217 443368248 517262956 535736633 775894434 1034525912 1071473266 1551788868 1607209899 2142946532 3103577736 3214419798 3750156431 4285893064 6428839596 7500312862 11250469293 12857679192 15000625724 22500938586 30001251448 45001877172 90003754344