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1999831356096 = 263710931361363
BaseRepresentation
bin11101000110011111001…
…111001101001011000000
321002011220200111212000120
4131012133033031023000
5230231123311343341
64130413154220240
7264324454024620
oct35063717151300
97064820455016
101999831356096
1170113a735162
122836b7584680
13116777638392
146cb14310880
15370482b9066
hex1d19f3cd2c0

1999831356096 has 112 divisors (see below), whose sum is σ = 6052646125824. Its totient is φ = 570857204736.

The previous prime is 1999831356079. The next prime is 1999831356097. The reversal of 1999831356096 is 6906531389991.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×19998313560962 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1999831356096.

It is not an unprimeable number, because it can be changed into a prime (1999831356097) 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, 788311 + ... + 2149673.

Almost surely, 21999831356096 is an apocalyptic number.

1999831356096 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 1999831356096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026323062912).

1999831356096 is an abundant number, since it is smaller than the sum of its proper divisors (4052814769728).

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

1999831356096 is a wasteful number, since it uses less digits than its factorization.

1999831356096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362478 (or 1362468 counting only the distinct ones).

The product of its (nonzero) digits is 85030560, while the sum is 69.

The spelling of 1999831356096 in words is "one trillion, nine hundred ninety-nine billion, eight hundred thirty-one million, three hundred fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1093 1344 2186 3279 4372 6558 7651 8744 13116 15302 17488 22953 26232 30604 34976 45906 52464 61208 69952 91812 104928 122416 183624 209856 244832 367248 489664 734496 1361363 1468992 2722726 4084089 5445452 8168178 9529541 10890904 16336356 19059082 21781808 28588623 32672712 38118164 43563616 57177246 65345424 76236328 87127232 114354492 130690848 152472656 228708984 261381696 304945312 457417968 609890624 914835936 1487969759 1829671872 2975939518 4463909277 5951879036 8927818554 10415788313 11903758072 17855637108 20831576626 23807516144 31247364939 35711274216 41663153252 47615032288 62494729878 71422548432 83326306504 95230064576 124989459756 142845096864 166652613008 249978919512 285690193728 333305226016 499957839024 666610452032 999915678048 1999831356096