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10188844368 = 243676614793
BaseRepresentation
bin10010111110100110…
…10110110101010000
3222022002002220220020
421133103112311100
5131331321004433
64403010143440
7510326514423
oct113723266520
928262086806
1010188844368
11435937863a
121b84281b80
13c64b69bc1
146c927d9ba
153e9761cb3
hex25f4d6d50

10188844368 has 80 divisors (see below), whose sum is σ = 26760031296. Its totient is φ = 3339832320.

The previous prime is 10188844349. The next prime is 10188844397. The reversal of 10188844368 is 86344888101.

It is a self number, because there is not a number n which added to its sum of digits gives 10188844368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2123380 + ... + 2128172.

Almost surely, 210188844368 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 10188844368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13380015648).

10188844368 is an abundant number, since it is smaller than the sum of its proper divisors (16571186928).

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

10188844368 is a wasteful number, since it uses less digits than its factorization.

10188844368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5532 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 10188844368 in words is "ten billion, one hundred eighty-eight million, eight hundred forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 661 804 1072 1322 1608 1983 2644 3216 3966 4793 5288 7932 9586 10576 14379 15864 19172 28758 31728 38344 44287 57516 76688 88574 115032 132861 177148 230064 265722 321131 354296 531444 642262 708592 963393 1062888 1284524 1926786 2125776 2569048 3168173 3853572 5138096 6336346 7707144 9504519 12672692 15414288 19009038 25345384 38018076 50690768 76036152 152072304 212267591 424535182 636802773 849070364 1273605546 1698140728 2547211092 3396281456 5094422184 10188844368