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18840339578116 = 2272292106912
BaseRepresentation
bin1000100100010100110111…
…01111110111110100000100
32110201010012122210021210001
410102022123233313310010
54432140003412444431
6104023044342411044
73653112115046200
oct422123357676404
973633178707701
1018840339578116
116004163586061
122143473730a84
13a68837225ba4
14491c3d457b00
1522a1318ace61
hex11229bbf7d04

18840339578116 has 81 divisors (see below), whose sum is σ = 39725405054517. Its totient is φ = 7795273372320.

The previous prime is 18840339578077. The next prime is 18840339578167. The reversal of 18840339578116 is 61187593304881.

The square root of 18840339578116 is 4340546.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9879417067716 + 8960922510400 = 3143154^2 + 2993480^2 .

It is a super-2 number, since 2×188403395781162 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1762256331 + ... + 1762267021.

Almost surely, 218840339578116 is an apocalyptic number.

18840339578116 is the 4340546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18840339578116

18840339578116 is an abundant number, since it is smaller than the sum of its proper divisors (20885065476401).

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

18840339578116 is an frugal number, since it uses more digits than its factorization.

18840339578116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21458 (or 10729 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 64.

The spelling of 18840339578116 in words is "eighteen trillion, eight hundred forty billion, three hundred thirty-nine million, five hundred seventy-eight thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 841 1421 1682 2842 3364 5684 5887 10691 11774 21382 23548 41209 42764 74837 82418 149674 164836 299348 310039 523859 620078 1047718 1240156 2095436 2170273 4340546 8681092 8991131 15191911 17982262 30383822 35964524 60767644 62937917 114297481 125875834 228594962 251751668 440565419 457189924 800082367 881130838 1600164734 1762261676 3200329468 3314626949 5600576569 6629253898 11201153138 13258507796 22402306276 23202388643 46404777286 92809554572 96124181521 162416720501 192248363042 324833441002 384496726084 649666882004 672869270647 1345738541294 2691477082588 4710084894529 9420169789058 18840339578116