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18731060136 = 23377191489
BaseRepresentation
bin10001011100011101…
…010100101110101000
31210100101210110000000
4101130131110232220
5301330122411021
612334355343000
71232113245525
oct213435245650
953311713000
1018731060136
117a42216798
123768bb1a60
1319c6826349
14c9996c14c
15749663b26
hex45c754ba8

18731060136 has 128 divisors (see below), whose sum is σ = 52781760000. Its totient is φ = 6230815488.

The previous prime is 18731060123. The next prime is 18731060147. The reversal of 18731060136 is 63106013781.

18731060136 is a `hidden beast` number, since 1 + 8 + 7 + 3 + 10 + 601 + 36 = 666.

It is a super-2 number, since 2×187310601362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 18731060136.

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, 12578880 + ... + 12580368.

It is an arithmetic number, because the mean of its divisors is an integer number (412357500).

Almost surely, 218731060136 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 18731060136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26390880000).

18731060136 is an abundant number, since it is smaller than the sum of its proper divisors (34050699864).

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

18731060136 is an equidigital number, since it uses as much as digits as its factorization.

18731060136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 18731060136 in words is "eighteen billion, seven hundred thirty-one million, sixty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 719 729 972 1438 1458 1489 1944 2157 2187 2876 2916 2978 4314 4374 4467 5752 5832 5956 6471 8628 8748 8934 11912 12942 13401 17256 17496 17868 19413 25884 26802 35736 38826 40203 51768 53604 58239 77652 80406 107208 116478 120609 155304 160812 174717 232956 241218 321624 349434 361827 465912 482436 524151 698868 723654 964872 1048302 1070591 1085481 1397736 1447308 1572453 2096604 2141182 2170962 2894616 3144906 3211773 3256443 4193208 4282364 4341924 6289812 6423546 6512886 8564728 8683848 9635319 12579624 12847092 13025772 19270638 25694184 26051544 28905957 38541276 57811914 77082552 86717871 115623828 173435742 231247656 260153613 346871484 520307226 693742968 780460839 1040614452 1560921678 2081228904 2341382517 3121843356 4682765034 6243686712 9365530068 18731060136