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21818314059504 = 24361461158310211
BaseRepresentation
bin1001111010111111110001…
…10110111110111011110000
32212020210212211011021210120
410331133320312332323300
510324432401344401004
6114223110050530240
74411215106352304
oct475377066767360
985223784137716
1021818314059504
116a52105536696
122544651296980
13c235c583a831
14556025049d04
1527c8276323d9
hex13d7f8dbeef0

21818314059504 has 160 divisors (see below), whose sum is σ = 57454140699648. Its totient is φ = 7132820352000.

The previous prime is 21818314059497. The next prime is 21818314059557. The reversal of 21818314059504 is 40595041381812.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 2136740959 + ... + 2136751169.

Almost surely, 221818314059504 is an apocalyptic number.

21818314059504 is a gapful number since it is divisible by the number (24) 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 21818314059504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28727070349824).

21818314059504 is an abundant number, since it is smaller than the sum of its proper divisors (35635826640144).

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

21818314059504 is a wasteful number, since it uses less digits than its factorization.

21818314059504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12327 (or 12321 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 21818314059504 in words is "twenty-one trillion, eight hundred eighteen billion, three hundred fourteen million, fifty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 461 488 732 922 976 1383 1464 1583 1844 2766 2928 3166 3688 4749 5532 6332 7376 9498 10211 11064 12664 18996 20422 22128 25328 28121 30633 37992 40844 56242 61266 75984 81688 84363 96563 112484 122532 163376 168726 193126 224968 245064 289689 337452 386252 449936 490128 579378 622871 674904 729763 772504 1158756 1245742 1349808 1459526 1545008 1868613 2189289 2317512 2491484 2919052 3737226 4378578 4635024 4707271 4982968 5838104 7474452 8757156 9414542 9965936 11676208 14121813 14948904 16164013 17514312 18829084 28243626 29897808 32328026 35028624 37658168 44515543 48492039 56487252 64656052 75316336 89031086 96984078 112974504 129312104 133546629 178062172 193968156 225949008 258624208 267093258 287143531 356124344 387936312 534186516 574287062 712248688 775872624 861430593 986004793 1068373032 1148574124 1722861186 1972009586 2136746064 2297148248 2958014379 3445722372 3944019172 4594296496 5916028758 6891444744 7451609993 7888038344 11832057516 13782889488 14903219986 15776076688 22354829979 23664115032 29806439972 44709659958 47328230064 59612879944 89419319916 119225759888 178838639832 357677279664 454548209573 909096419146 1363644628719 1818192838292 2727289257438 3636385676584 5454578514876 7272771353168 10909157029752 21818314059504