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6768132056 = 2372293716091
BaseRepresentation
bin1100100110110100…
…10111111111011000
3122110200102201202122
412103122113333120
5102330120211211
63035332320412
7326502113300
oct62332277730
918420381678
106768132056
112963485874
12138a773108
1383b27168a
14482c40600
152992b76db
hex193697fd8

6768132056 has 96 divisors (see below), whose sum is σ = 15684872400. Its totient is φ = 2724744960.

The previous prime is 6768132037. The next prime is 6768132067. The reversal of 6768132056 is 6502318676.

It is a super-2 number, since 2×67681320562 = 91615223054909574272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6768131998 and 6768132016.

It is a congruent number.

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, 412571 + ... + 428661.

Almost surely, 26768132056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6768132056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842436200).

6768132056 is an abundant number, since it is smaller than the sum of its proper divisors (8916740344).

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

6768132056 is a wasteful number, since it uses less digits than its factorization.

6768132056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16177 (or 16166 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 6768132056 is about 82268.6577987024. The cubic root of 6768132056 is about 1891.5722810568.

The spelling of 6768132056 in words is "six billion, seven hundred sixty-eight million, one hundred thirty-two thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 29 37 49 56 58 74 98 116 148 196 203 232 259 296 392 406 518 812 1036 1073 1421 1624 1813 2072 2146 2842 3626 4292 5684 7252 7511 8584 11368 14504 15022 16091 30044 32182 52577 60088 64364 105154 112637 128728 210308 225274 420616 450548 466639 595367 788459 901096 933278 1190734 1576918 1866556 2381468 3153836 3266473 3733112 4167569 4762936 6307672 6532946 8335138 13065892 16670276 17265643 22865311 26131784 29172983 33340552 34531286 45730622 58345966 69062572 91461244 116691932 120859501 138125144 182922488 233383864 241719002 483438004 846016507 966876008 1692033014 3384066028 6768132056