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18258084384 = 2533111354293
BaseRepresentation
bin10001000000010001…
…000100001000100000
31202010102210210020120
4101000101010020200
5244343032200014
612215422040240
71214311104501
oct210021041040
952112723216
1018258084384
11781a238041
123656719080
13194c843937
14c52c0cba8
1571cd87ba9
hex440444220

18258084384 has 96 divisors (see below), whose sum is σ = 49912257024. Its totient is φ = 5837475840.

The previous prime is 18258084379. The next prime is 18258084401. The reversal of 18258084384 is 48348085281.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309142 + ... + 363434.

It is an arithmetic number, because the mean of its divisors is an integer number (519919344).

Almost surely, 218258084384 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 18258084384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24956128512).

18258084384 is an abundant number, since it is smaller than the sum of its proper divisors (31654172640).

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

18258084384 is a wasteful number, since it uses less digits than its factorization.

18258084384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54450 (or 54442 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 18258084384 in words is "eighteen billion, two hundred fifty-eight million, eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 113 124 186 226 248 339 372 452 496 678 744 904 992 1356 1488 1808 2712 2976 3503 3616 5424 7006 10509 10848 14012 21018 28024 42036 54293 56048 84072 108586 112096 162879 168144 217172 325758 336288 434344 651516 868688 1303032 1683083 1737376 2606064 3366166 5049249 5212128 6135109 6732332 10098498 12270218 13464664 18405327 20196996 24540436 26929328 36810654 40393992 49080872 53858656 73621308 80787984 98161744 147242616 161575968 190188379 196323488 294485232 380376758 570565137 588970464 760753516 1141130274 1521507032 2282260548 3043014064 4564521096 6086028128 9129042192 18258084384