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2093791896 = 233378771579
BaseRepresentation
bin111110011001100…
…1011101010011000
312101220211122112000
41330303023222120
513242002320041
6543433121000
7102612636360
oct17463135230
95356748460
102093791896
11984988929
124a5259160
13274a26221
1415c1119a0
15c3c3cbb6
hex7cccba98

2093791896 has 128 divisors (see below), whose sum is σ = 6658752000. Its totient is φ = 597165696.

The previous prime is 2093791879. The next prime is 2093791919. The reversal of 2093791896 is 6981973902.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325235 + ... + 1326813.

It is an arithmetic number, because the mean of its divisors is an integer number (52021500).

Almost surely, 22093791896 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 2093791896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329376000).

2093791896 is an abundant number, since it is smaller than the sum of its proper divisors (4564960104).

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

2093791896 is a wasteful number, since it uses less digits than its factorization.

2093791896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 2093791896 is about 45757.9708466186. The cubic root of 2093791896 is about 1279.3160196648.

The spelling of 2093791896 in words is "two billion, ninety-three million, seven hundred ninety-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 877 1512 1579 1754 2631 3158 3508 4737 5262 6139 6316 7016 7893 9474 10524 11053 12278 12632 14211 15786 18417 18948 21048 22106 23679 24556 28422 31572 33159 36834 37896 42633 44212 47358 49112 55251 56844 63144 66318 73668 85266 88424 94716 99477 110502 113688 132636 147336 165753 170532 189432 198954 221004 265272 298431 331506 341064 397908 442008 596862 663012 795816 1193724 1326024 1384783 2387448 2769566 4154349 5539132 8308698 9693481 11078264 12463047 16617396 19386962 24926094 29080443 33234792 37389141 38773924 49852188 58160886 74778282 77547848 87241329 99704376 116321772 149556564 174482658 232643544 261723987 299113128 348965316 523447974 697930632 1046895948 2093791896