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18223831945872 = 2433754191112087
BaseRepresentation
bin1000010010011000100010…
…00001111001001010010000
32101112011220011220121222000
410021030101001321022100
54342034401434231442
6102431525100314000
73560425354455360
oct411142101711220
971464804817860
1018223831945872
115896758048093
122063a98542900
13a226665b7467
14470076a609a0
1521909c6c4d4c
hex109311079290

18223831945872 has 160 divisors (see below), whose sum is σ = 59792968243200. Its totient is φ = 5205843603072.

The previous prime is 18223831945861. The next prime is 18223831946009. The reversal of 18223831945872 is 27854913832281.

18223831945872 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 38 + 3 + 19 + 4 + 587 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15831013 + ... + 16943099.

It is an arithmetic number, because the mean of its divisors is an integer number (373706051520).

Almost surely, 218223831945872 is an apocalyptic number.

18223831945872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18223831945872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29896484121600).

18223831945872 is an abundant number, since it is smaller than the sum of its proper divisors (41569136297328).

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

18223831945872 is a wasteful number, since it uses less digits than its factorization.

18223831945872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117530 (or 1117518 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 18223831945872 in words is "eighteen trillion, two hundred twenty-three billion, eight hundred thirty-one million, nine hundred forty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 5419 10838 16257 21676 32514 37933 43352 48771 65028 75866 86704 97542 113799 130056 146313 151732 195084 227598 260112 292626 303464 341397 390168 455196 585252 606928 682794 780336 910392 1024191 1112087 1170504 1365588 1820784 2048382 2224174 2341008 2731176 3336261 4096764 4448348 5462352 6672522 7784609 8193528 8896696 10008783 13345044 15569218 16387056 17793392 20017566 23353827 26690088 30026349 31138436 40035132 46707654 53380176 60052698 62276872 70061481 80070264 93415308 120105396 124553744 140122962 160140528 186830616 210184443 240210792 280245924 373661232 420368886 480421584 560491848 840737772 1120983696 1681475544 3362951088 6026399453 12052798906 18079198359 24105597812 36158396718 42184796171 48211195624 54237595077 72316793436 84369592342 96422391248 108475190154 126554388513 144633586872 162712785231 168739184684 216950380308 253108777026 289267173744 325425570462 337478369368 379663165539 433900760616 506217554052 650851140924 674956738736 759326331078 867801521232 1012435108104 1138989496617 1301702281848 1518652662156 2024870216208 2277978993234 2603404563696 3037305324312 4555957986468 6074610648624 9111915972936 18223831945872