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19328992848 = 24331126915121
BaseRepresentation
bin10010000000000110…
…010000011001010000
31211220001220120111000
4102000012100121100
5304041210232343
612513555222000
71252663504554
oct220006203120
954801816430
1019328992848
118219792460
1238b52a7900
131a90679c99
14d15137864
15781dc3ed3
hex480190650

19328992848 has 160 divisors (see below), whose sum is σ = 60754147200. Its totient is φ = 5835110400.

The previous prime is 19328992829. The next prime is 19328992871. The reversal of 19328992848 is 84829982391.

It is a happy number.

19328992848 is a `hidden beast` number, since 193 + 289 + 92 + 84 + 8 = 666.

It is a super-2 number, since 2×193289928482 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1270728 + ... + 1285848.

It is an arithmetic number, because the mean of its divisors is an integer number (379713420).

Almost surely, 219328992848 is an apocalyptic number.

19328992848 is a gapful number since it is divisible by the number (18) 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 19328992848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30377073600).

19328992848 is an abundant number, since it is smaller than the sum of its proper divisors (41425154352).

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

19328992848 is a wasteful number, since it uses less digits than its factorization.

19328992848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15418 (or 15406 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 19328992848 in words is "nineteen billion, three hundred twenty-eight million, nine hundred ninety-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 269 297 396 432 528 538 594 792 807 1076 1188 1584 1614 2152 2376 2421 2959 3228 4304 4752 4842 5918 6456 7263 8877 9684 11836 12912 14526 15121 17754 19368 23672 26631 29052 30242 35508 38736 45363 47344 53262 58104 60484 71016 79893 90726 106524 116208 120968 136089 142032 159786 166331 181452 213048 241936 272178 319572 332662 362904 408267 426096 498993 544356 639144 665324 725808 816534 997986 1088712 1278288 1330648 1496979 1633068 1995972 2177424 2661296 2993958 3266136 3991944 4067549 4490937 5987916 6532272 7983888 8135098 8981874 11975832 12202647 16270196 17963748 23951664 24405294 32540392 35927496 36607941 44743039 48810588 65080784 71854992 73215882 89486078 97621176 109823823 134229117 146431764 178972156 195242352 219647646 268458234 292863528 357944312 402687351 439295292 536916468 585727056 715888624 805374702 878590584 1073832936 1208062053 1610749404 1757181168 2147665872 2416124106 3221498808 4832248212 6442997616 9664496424 19328992848