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1996289619768 = 233371550123663
BaseRepresentation
bin11101000011001100001…
…000100011011100111000
321001211202212010000011000
4131003030020203130320
5230201400120313033
64125025514405000
7264140626536003
oct35031410433470
97054685100130
101996289619768
116aa6924a1244
12282a89430760
13116331947b02
146c899baa53a
1536ddc3b5a13
hex1d0cc223738

1996289619768 has 128 divisors (see below), whose sum is σ = 5624610969600. Its totient is φ = 655910640000.

The previous prime is 1996289619767. The next prime is 1996289619781. The reversal of 1996289619768 is 8679169826991.

1996289619768 is a `hidden beast` number, since 1 + 9 + 96 + 289 + 6 + 197 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1996289619767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84351505 + ... + 84375167.

It is an arithmetic number, because the mean of its divisors is an integer number (43942273200).

Almost surely, 21996289619768 is an apocalyptic number.

1996289619768 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 1996289619768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812305484800).

1996289619768 is an abundant number, since it is smaller than the sum of its proper divisors (3628321349832).

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

1996289619768 is a wasteful number, since it uses less digits than its factorization.

1996289619768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29250 (or 29240 counting only the distinct ones).

The product of its digits is 1269789696, while the sum is 81.

The spelling of 1996289619768 in words is "one trillion, nine hundred ninety-six billion, two hundred eighty-nine million, six hundred nineteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 852 1278 1704 1917 2556 3834 5112 5501 7668 11002 15336 16503 22004 23663 33006 44008 47326 49509 66012 70989 94652 99018 132024 141978 148527 189304 198036 212967 283956 297054 390571 396072 425934 567912 594108 638901 781142 851868 1171713 1188216 1277802 1562284 1680073 1703736 2343426 2555604 3124568 3360146 3515139 4686852 5040219 5111208 6720292 7030278 9373704 10080438 10545417 13440584 14060556 15120657 20160876 21090834 28121112 30241314 40321752 42181668 45361971 60482628 84363336 90723942 120965256 130170163 181447884 260340326 362895768 390510489 520680652 781020978 1041361304 1171531467 1562041956 2343062934 3124083912 3514594401 4686125868 7029188802 9242081573 9372251736 14058377604 18484163146 27726244719 28116755208 36968326292 55452489438 73936652584 83178734157 110904978876 166357468314 221809957752 249536202471 332714936628 499072404942 665429873256 998144809884 1996289619768