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2086986096 = 2432131765579
BaseRepresentation
bin111110001100100…
…1110000101110000
312101110000212201100
41330121032011300
513233232023341
6543031204400
7102501042366
oct17431160560
95343025640
102086986096
1198105a5a8
124a2b16700
132734b2520
1415b25d636
15c33463b6
hex7c64e170

2086986096 has 120 divisors (see below), whose sum is σ = 6660042480. Its totient is φ = 604366848.

The previous prime is 2086986091. The next prime is 2086986119. The reversal of 2086986096 is 6906896802.

2086986096 is a `hidden beast` number, since 20 + 8 + 6 + 9 + 8 + 609 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2086986091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 966 + ... + 64613.

It is an arithmetic number, because the mean of its divisors is an integer number (55500354).

Almost surely, 22086986096 is an apocalyptic number.

2086986096 is a gapful number since it is divisible by the number (26) 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 2086986096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330021240).

2086986096 is an abundant number, since it is smaller than the sum of its proper divisors (4573056384).

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

2086986096 is a wasteful number, since it uses less digits than its factorization.

2086986096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65623 (or 65614 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 2086986096 is about 45683.5429449162. The cubic root of 2086986096 is about 1277.9283905595.

The spelling of 2086986096 in words is "two billion, eighty-six million, nine hundred eighty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1768 1872 1989 2448 2652 3536 3978 5304 7956 10608 15912 31824 65579 131158 196737 262316 393474 524632 590211 786948 852527 1049264 1114843 1180422 1573896 1705054 2229686 2360844 2557581 3147792 3344529 3410108 4459372 4721688 5115162 6689058 6820216 7672743 8918744 9443376 10033587 10230324 13378116 13640432 14492959 15345486 17837488 20067174 20460648 26756232 28985918 30690972 40134348 40921296 43478877 53512464 57971836 61381944 80268696 86957754 115943672 122763888 130436631 160537392 173915508 231887344 260873262 347831016 521746524 695662032 1043493048 2086986096