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18419952384 = 283227129501
BaseRepresentation
bin10001001001111010…
…100010101100000000
31202112201101112101200
4101021322202230000
5300211001434014
612243443301200
71221315004041
oct211172425400
952481345350
1018419952384
1178a2645949
1236a097a800
131977239712
14c6a5068c8
1572c1ada09
hex449ea2b00

18419952384 has 108 divisors (see below), whose sum is σ = 53307045792. Its totient is φ = 6117120000.

The previous prime is 18419952361. The next prime is 18419952389. The reversal of 18419952384 is 48325991481.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 18419952384.

It is not an unprimeable number, because it can be changed into a prime (18419952389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609634 + ... + 639134.

Almost surely, 218419952384 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 18419952384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26653522896).

18419952384 is an abundant number, since it is smaller than the sum of its proper divisors (34887093408).

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

18419952384 is a wasteful number, since it uses less digits than its factorization.

18419952384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29794 (or 29777 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 18419952384 in words is "eighteen billion, four hundred nineteen million, nine hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 271 288 384 542 576 768 813 1084 1152 1626 2168 2304 2439 3252 4336 4878 6504 8672 9756 13008 17344 19512 26016 29501 34688 39024 52032 59002 69376 78048 88503 104064 118004 156096 177006 208128 236008 265509 312192 354012 472016 531018 624384 708024 944032 1062036 1416048 1888064 2124072 2832096 3776128 4248144 5664192 7552256 7994771 8496288 11328384 15989542 16992576 22656768 23984313 31979084 33985152 47968626 63958168 67970304 71952939 95937252 127916336 143905878 191874504 255832672 287811756 383749008 511665344 575623512 767498016 1023330688 1151247024 1534996032 2046661376 2302494048 3069992064 4604988096 6139984128 9209976192 18419952384