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19073968896 = 283431314409
BaseRepresentation
bin10001110000111001…
…011010101100000000
31211020022001000101110
4101300321122230000
5303030414001041
612432405203320
71243446026523
oct216071325400
954208030343
1019073968896
1180a8838164
123843a00540
131a4c898938
14ccd310bba
157697eb516
hex470e5ab00

19073968896 has 144 divisors (see below), whose sum is σ = 52353544320. Its totient is φ = 6161326080.

The previous prime is 19073968891. The next prime is 19073968897. The reversal of 19073968896 is 69886937091.

It is not an unprimeable number, because it can be changed into a prime (19073968891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4323940 + ... + 4328348.

It is an arithmetic number, because the mean of its divisors is an integer number (363566280).

Almost surely, 219073968896 is an apocalyptic number.

19073968896 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 19073968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26176772160).

19073968896 is an abundant number, since it is smaller than the sum of its proper divisors (33279575424).

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

19073968896 is a wasteful number, since it uses less digits than its factorization.

19073968896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 66.

The spelling of 19073968896 in words is "nineteen billion, seventy-three million, nine hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 131 172 192 256 258 262 344 384 393 516 524 688 768 786 1032 1048 1376 1572 2064 2096 2752 3144 4128 4192 4409 5504 5633 6288 8256 8384 8818 11008 11266 12576 13227 16512 16768 16899 17636 22532 25152 26454 33024 33536 33798 35272 45064 50304 52908 67596 70544 90128 100608 105816 135192 141088 180256 189587 211632 270384 282176 360512 379174 423264 540768 564352 568761 577579 721024 758348 846528 1081536 1128704 1137522 1155158 1442048 1516696 1693056 1732737 2163072 2275044 2310316 3033392 3386112 3465474 4326144 4550088 4620632 6066784 6930948 9100176 9241264 12133568 13861896 18200352 18482528 24267136 24835897 27723792 36400704 36965056 48534272 49671794 55447584 72801408 73930112 74507691 99343588 110895168 145602816 147860224 149015382 198687176 221790336 298030764 397374352 443580672 596061528 794748704 1192123056 1589497408 2384246112 3178994816 4768492224 6357989632 9536984448 19073968896