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20113433144 = 237311512772
BaseRepresentation
bin10010101110110110…
…101010001000111000
31220220201222021021022
4102232312222020320
5312143014330034
613123500402012
71311300234530
oct225666521070
956821867238
1020113433144
118591566022
123a93b46308
131b8704283c
14d8b3b24c0
157cabc5b2e
hex4aedaa238

20113433144 has 96 divisors (see below), whose sum is σ = 44947445760. Its totient is φ = 8256816000.

The previous prime is 20113433107. The next prime is 20113433257. The reversal of 20113433144 is 44133431102.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 72611534 + ... + 72611810.

It is an arithmetic number, because the mean of its divisors is an integer number (468202560).

Almost surely, 220113433144 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 20113433144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22473722880).

20113433144 is an abundant number, since it is smaller than the sum of its proper divisors (24834012616).

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

20113433144 is a wasteful number, since it uses less digits than its factorization.

20113433144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 20113433144 its reverse (44133431102), we get a palindrome (64246864246).

The spelling of 20113433144 in words is "twenty billion, one hundred thirteen million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 151 217 248 277 302 434 554 604 868 1057 1108 1208 1736 1939 2114 2216 3878 4228 4681 7756 8456 8587 9362 15512 17174 18724 32767 34348 37448 41827 60109 65534 68696 76729 83654 120218 131068 153458 167308 240436 262136 292789 306916 334616 480872 537103 585578 613832 1074206 1171156 1296637 2148412 2342312 2378599 2593274 4296824 4757198 5186548 9076459 9514396 10373096 11586079 16650193 18152918 19028792 23172158 33300386 36305836 46344316 66600772 72611672 81102553 92688632 133201544 162205106 324410212 359168449 648820424 718336898 1436673796 2514179143 2873347592 5028358286 10056716572 20113433144