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10818890304 = 263176415171
BaseRepresentation
bin10100001001101101…
…10010101001000000
31000220222122120102220
422010312302221000
5134124113442204
64545314211040
7532050023145
oct120466625100
930828576386
1010818890304
114651a88462
12211b283a80
131035555651
14748c083cc
15434c171d9
hex284db2a40

10818890304 has 112 divisors (see below), whose sum is σ = 30361957056. Its totient is φ = 3388211200.

The previous prime is 10818890297. The next prime is 10818890311. The reversal of 10818890304 is 40309881801.

It is an interprime number because it is at equal distance from previous prime (10818890297) and next prime (10818890311).

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 15 ways as a sum of consecutive naturals, for example, 2089639 + ... + 2094809.

Almost surely, 210818890304 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 10818890304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15180978528).

10818890304 is an abundant number, since it is smaller than the sum of its proper divisors (19543066752).

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

10818890304 is a wasteful number, since it uses less digits than its factorization.

10818890304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 10818890304 in words is "ten billion, eight hundred eighteen million, eight hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 641 816 1088 1282 1632 1923 2564 3264 3846 5128 5171 7692 10256 10342 10897 15384 15513 20512 20684 21794 30768 31026 32691 41024 41368 43588 61536 62052 65382 82736 87176 87907 123072 124104 130764 165472 174352 175814 248208 261528 263721 330944 348704 351628 496416 523056 527442 697408 703256 992832 1046112 1054884 1406512 2092224 2109768 2813024 3314611 4219536 5626048 6629222 8439072 9943833 13258444 16878144 19887666 26516888 39775332 53033776 56348387 79550664 106067552 112696774 159101328 169045161 212135104 225393548 318202656 338090322 450787096 636405312 676180644 901574192 1352361288 1803148384 2704722576 3606296768 5409445152 10818890304