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18920256696 = 23341119139703
BaseRepresentation
bin10001100111101111…
…000011010010111000
31210211120210121220000
4101213233003102320
5302222041203241
612405234433000
71236601346145
oct214757032270
953746717800
1018920256696
118029a9a990
123800432760
131a26a9a183
14cb6b3b3cc
1575b086eb6
hex467bc34b8

18920256696 has 160 divisors (see below), whose sum is σ = 60855062400. Its totient is φ = 5431613760.

The previous prime is 18920256689. The next prime is 18920256701. The reversal of 18920256696 is 69665202981.

It is a happy number.

It is a super-2 number, since 2×189202566962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65581 + ... + 205283.

It is an arithmetic number, because the mean of its divisors is an integer number (380344140).

Almost surely, 218920256696 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 18920256696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30427531200).

18920256696 is an abundant number, since it is smaller than the sum of its proper divisors (41934805704).

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

18920256696 is a wasteful number, since it uses less digits than its factorization.

18920256696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139751 (or 139738 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 18920256696 in words is "eighteen billion, nine hundred twenty million, two hundred fifty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 81 88 99 108 114 132 152 162 171 198 209 216 228 264 297 324 342 396 418 456 513 594 627 648 684 792 836 891 1026 1188 1254 1368 1539 1672 1782 1881 2052 2376 2508 3078 3564 3762 4104 5016 5643 6156 7128 7524 11286 12312 15048 16929 22572 33858 45144 67716 135432 139703 279406 419109 558812 838218 1117624 1257327 1536733 1676436 2514654 2654357 3073466 3352872 3771981 4610199 5029308 5308714 6146932 7543962 7963071 9220398 10058616 10617428 11315943 12293864 13830597 15087924 15926142 18440796 21234856 22631886 23889213 27661194 29197927 30175848 31852284 36881592 41491791 45263772 47778426 55322388 58395854 63704568 71667639 82983582 87593781 90527544 95556852 110644776 116791708 124475373 143335278 165967164 175187562 191113704 215002917 233583416 248950746 262781343 286670556 331934328 350375124 430005834 497901492 525562686 573341112 700750248 788344029 860011668 995802984 1051125372 1576688058 1720023336 2102250744 2365032087 3153376116 4730064174 6306752232 9460128348 18920256696