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860042635104 = 253233251119813
BaseRepresentation
bin11001000001111101000…
…10010010011101100000
310001012220211221122002210
430200332202102131200
5103042331403310404
61455033110242120
7116064441531222
oct14407642223540
93035824848083
10860042635104
11301818712184
1211a822656340
13631424b3923
142d8aa756412
1517589667689
hexc83e892760

860042635104 has 96 divisors (see below), whose sum is σ = 2356513254144. Its totient is φ = 274129856000.

The previous prime is 860042635103. The next prime is 860042635129. The reversal of 860042635104 is 401536240068.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (860042635103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7118302 + ... + 7238114.

It is an arithmetic number, because the mean of its divisors is an integer number (24547013064).

Almost surely, 2860042635104 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 860042635104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178256627072).

860042635104 is an abundant number, since it is smaller than the sum of its proper divisors (1496470619040).

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

860042635104 is a wasteful number, since it uses less digits than its factorization.

860042635104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123100 (or 123092 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 860042635104 in words is "eight hundred sixty billion, forty-two million, six hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 3251 6502 9753 13004 19506 26008 39012 52016 74773 78024 104032 119813 149546 156048 224319 239626 299092 312096 359439 448638 479252 598184 718878 897276 958504 1196368 1437756 1794552 1917008 2392736 2755699 2875512 3589104 3834016 5511398 5751024 7178208 8267097 11022796 11502048 16534194 22045592 33068388 44091184 66136776 88182368 132273552 264547104 389512063 779024126 1168536189 1558048252 2337072378 3116096504 4674144756 6232193008 8958777449 9348289512 12464386016 17917554898 18696579024 26876332347 35835109796 37393158048 53752664694 71670219592 107505329388 143340439184 215010658776 286680878368 430021317552 860042635104