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20068800832 = 2617311933083
BaseRepresentation
bin10010101100001100…
…011001100101000000
31220210121222201020201
4102230030121211000
5312100103111312
613115224014544
71310215664263
oct225414314500
956717881221
1020068800832
118569351113
123a81001454
131b7aa166a2
14d854b4cda
157c6d0b557
hex4ac319940

20068800832 has 112 divisors (see below), whose sum is σ = 43766548992. Its totient is φ = 9089187840.

The previous prime is 20068800821. The next prime is 20068800839. The reversal of 20068800832 is 23800886002.

It is a junction number, because it is equal to n+sod(n) for n = 20068800791 and 20068800800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20068800839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6507963 + ... + 6511045.

Almost surely, 220068800832 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 20068800832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21883274496).

20068800832 is an abundant number, since it is smaller than the sum of its proper divisors (23697748160).

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

20068800832 is a wasteful number, since it uses less digits than its factorization.

20068800832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 20068800832 in words is "twenty billion, sixty-eight million, eight hundred thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 193 248 272 386 496 527 544 772 992 1054 1088 1544 1984 2108 3083 3088 3281 4216 5983 6166 6176 6562 8432 11966 12332 12352 13124 16864 23932 24664 26248 33728 47864 49328 52411 52496 95573 95728 98656 101711 104822 104992 191146 191456 197312 203422 209644 209984 382292 382912 406844 419288 595019 764584 813688 838576 1190038 1529168 1624741 1627376 1677152 2380076 3058336 3249482 3254752 3354304 4760152 6116672 6498964 6509504 9520304 10115323 12997928 18445589 19040608 20230646 25995856 36891178 38081216 40461292 51991712 73782356 80922584 103983424 147564712 161845168 295129424 313575013 323690336 590258848 627150026 647380672 1180517696 1254300052 2508600104 5017200208 10034400416 20068800832