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10845090816 = 21037272047
BaseRepresentation
bin10100001100110101…
…01111010000000000
31000222210221200210020
422012122233100000
5134202320401231
64552051533440
7532515515400
oct120632572000
930883850706
1010845090816
11466585327a
122127bba280
13103aaca101
1474c4a8800
15437190396
hex2866af400

10845090816 has 132 divisors (see below), whose sum is σ = 33625954368. Its totient is φ = 3098554368.

The previous prime is 10845090797. The next prime is 10845090827. The reversal of 10845090816 is 61809054801.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 114505 + ... + 186551.

Almost surely, 210845090816 is an apocalyptic number.

10845090816 is a gapful number since it is divisible by the number (16) 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 10845090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812977184).

10845090816 is an abundant number, since it is smaller than the sum of its proper divisors (22780863552).

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

10845090816 is an equidigital number, since it uses as much as digits as its factorization.

10845090816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72084 (or 72059 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 10845090816 in words is "ten billion, eight hundred forty-five million, ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2352 2688 3072 3136 3584 4704 5376 6272 7168 9408 10752 12544 18816 21504 25088 37632 50176 72047 75264 144094 150528 216141 288188 432282 504329 576376 864564 1008658 1152752 1512987 1729128 2017316 2305504 3025974 3458256 3530303 4034632 4611008 6051948 6916512 7060606 8069264 9222016 10590909 12103896 13833024 14121212 16138528 18444032 21181818 24207792 27666048 28242424 32277056 36888064 42363636 48415584 55332096 56484848 64554112 73776128 84727272 96831168 110664192 112969696 129108224 169454544 193662336 221328384 225939392 258216448 338909088 387324672 451878784 516432896 677818176 774649344 903757568 1355636352 1549298688 1807515136 2711272704 3615030272 5422545408 10845090816