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18681327635724 = 223213715021111973
BaseRepresentation
bin1000011111101100101011…
…11001011100110100001100
32110010220202211202200000100
410033312111321130310030
54422033324333320344
6103422030004531100
73635452466614335
oct417662571346414
973126684680010
1018681327635724
115a5278547a236
1221186969b0a90
13a568458a4750
14488276c6328c
15225e26a43569
hex10fd95e5cd0c

18681327635724 has 144 divisors (see below), whose sum is σ = 51581720683584. Its totient is φ = 5665962355200.

The previous prime is 18681327635717. The next prime is 18681327635731. The reversal of 18681327635724 is 42753672318681.

It is a happy number.

18681327635724 is a `hidden beast` number, since 1 + 8 + 6 + 8 + 1 + 3 + 276 + 357 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (18681327635717) and next prime (18681327635731).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166781802 + ... + 166893774.

It is an arithmetic number, because the mean of its divisors is an integer number (358206393636).

Almost surely, 218681327635724 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 18681327635724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25790860341792).

18681327635724 is an abundant number, since it is smaller than the sum of its proper divisors (32900393047860).

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

18681327635724 is a wasteful number, since it uses less digits than its factorization.

18681327635724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117088 (or 117083 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 18681327635724 in words is "eighteen trillion, six hundred eighty-one billion, three hundred twenty-seven million, six hundred thirty-five thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 213 234 284 426 468 639 852 923 1278 1846 2556 2769 3692 5021 5538 8307 10042 11076 15063 16614 20084 30126 33228 45189 60252 65273 90378 111973 130546 180756 195819 223946 261092 335919 356491 391638 447892 587457 671838 712982 783276 1007757 1069473 1174914 1343676 1425964 1455649 2015514 2138946 2349828 2911298 3208419 4031028 4277892 4366947 4634383 5822596 6416838 7950083 8733894 9268766 12833676 13100841 13903149 15900166 17467788 18537532 23850249 26201682 27806298 31800332 41709447 47700498 52403364 55612596 71550747 83418894 95400996 103351079 143101494 166837788 206702158 286202988 310053237 413404316 562216433 620106474 930159711 1124432866 1240212948 1686649299 1860319422 2248865732 3373298598 3720638844 5059947897 6746597196 7308813629 10119895794 14617627258 20239791588 21926440887 29235254516 39917366743 43852881774 65779322661 79834733486 87705763548 119752100229 131558645322 159669466972 239504200458 263117290644 359256300687 479008400916 518925767659 718512601374 1037851535318 1437025202748 1556777302977 2075703070636 3113554605954 4670331908931 6227109211908 9340663817862 18681327635724