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18953914896 = 2433760110429
BaseRepresentation
bin10001101001101111…
…011100101000010000
31210220221010122021000
4101221233130220100
5302304200234041
612412440102000
71240460422050
oct215157345020
953827118230
1018953914896
118046a99884
12380b764900
131a30a53277
14cbb3bd560
1575ded4bb6
hex469bdca10

18953914896 has 160 divisors (see below), whose sum is σ = 62286291200. Its totient is φ = 5405875200.

The previous prime is 18953914883. The next prime is 18953914933. The reversal of 18953914896 is 69841935981.

18953914896 is a `hidden beast` number, since 1 + 8 + 9 + 539 + 1 + 4 + 8 + 96 = 666.

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, 1812210 + ... + 1822638.

It is an arithmetic number, because the mean of its divisors is an integer number (389289320).

Almost surely, 218953914896 is an apocalyptic number.

18953914896 is a gapful number since it is divisible by the number (16) 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 18953914896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31143145600).

18953914896 is an abundant number, since it is smaller than the sum of its proper divisors (43332376304).

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

18953914896 is a wasteful number, since it uses less digits than its factorization.

18953914896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11054 (or 11042 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The spelling of 18953914896 in words is "eighteen billion, nine hundred fifty-three million, nine hundred fourteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 601 756 1008 1202 1512 1803 2404 3024 3606 4207 4808 5409 7212 8414 9616 10429 10818 12621 14424 16227 16828 20858 21636 25242 28848 31287 32454 33656 37863 41716 43272 50484 62574 64908 67312 73003 75726 83432 86544 93861 100968 113589 125148 129816 146006 151452 166864 187722 201936 219009 227178 250296 259632 281583 292012 302904 375444 438018 454356 500592 563166 584024 605808 657027 750888 876036 908712 1126332 1168048 1314054 1501776 1752072 1817424 1971081 2252664 2628108 3504144 3942162 4505328 5256216 6267829 7884324 10512432 12535658 15768648 18803487 25071316 31537296 37606974 43874803 50142632 56410461 75213948 87749606 100285264 112820922 131624409 150427896 169231383 175499212 225641844 263248818 300855792 338462766 350998424 394873227 451283688 526497636 676925532 701996848 789746454 902567376 1052995272 1184619681 1353851064 1579492908 2105990544 2369239362 2707702128 3158985816 4738478724 6317971632 9476957448 18953914896