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2086948156068 = 2232971193500953
BaseRepresentation
bin11110010111100111110…
…011011011001010100100
321101111210000010211020200
4132113213303123022210
5233143032211443233
64234421501430500
7303530343431316
oct36274763331244
97344700124220
102086948156068
11735084911406
1229856a86b430
13121a4c01c629
147301a32b7b6
1539446474313
hex1e5e7cdb2a4

2086948156068 has 72 divisors (see below), whose sum is σ = 5334204279768. Its totient is φ = 687899271168.

The previous prime is 2086948156031. The next prime is 2086948156081. The reversal of 2086948156068 is 8606518496802.

2086948156068 is a `hidden beast` number, since 2 + 0 + 8 + 6 + 9 + 4 + 8 + 1 + 560 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17009898084 + 2069938257984 = 130422^2 + 1438728^2 .

It is a super-2 number, since 2×20869481560682 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2086948155996 and 2086948156014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3915480 + ... + 4416432.

Almost surely, 22086948156068 is an apocalyptic number.

It is an amenable number.

2086948156068 is an abundant number, since it is smaller than the sum of its proper divisors (3247256123700).

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

2086948156068 is a wasteful number, since it uses less digits than its factorization.

2086948156068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502253 (or 502248 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 2086948156068 in words is "two trillion, eighty-six billion, nine hundred forty-eight million, one hundred fifty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1193 1746 2386 3492 3579 4772 7158 10737 14316 21474 42948 115721 231442 347163 462884 500953 694326 1001906 1041489 1388652 1502859 2003812 2082978 3005718 4165956 4508577 6011436 9017154 18034308 48592441 97184882 145777323 194369764 291554646 437331969 583109292 597636929 874663938 1195273858 1749327876 1792910787 2390547716 3585821574 5378732361 7171643148 10757464722 21514929444 57970782113 115941564226 173912346339 231883128452 347824692678 521737039017 695649385356 1043474078034 2086948156068