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10799558016 = 273134350311
BaseRepresentation
bin10100000111011010…
…00010110110000000
31000212122021101112020
422003231002312000
5134104141324031
64543344001440
7531423504612
oct120355026600
930778241466
1010799558016
114642083865
122114900280
131031547120
14746414db2
15433199096
hex283b42d80

10799558016 has 128 divisors (see below), whose sum is σ = 31612035840. Its totient is φ = 3245598720.

The previous prime is 10799557981. The next prime is 10799558027. The reversal of 10799558016 is 61085599701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 10799558016.

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 15 ways as a sum of consecutive naturals, for example, 189501 + ... + 239811.

It is an arithmetic number, because the mean of its divisors is an integer number (246969030).

Almost surely, 210799558016 is an apocalyptic number.

10799558016 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 10799558016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15806017920).

10799558016 is an abundant number, since it is smaller than the sum of its proper divisors (20812477824).

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

10799558016 is a wasteful number, since it uses less digits than its factorization.

10799558016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50384 (or 50372 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 51.

The spelling of 10799558016 in words is "ten billion, seven hundred ninety-nine million, five hundred fifty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 208 258 312 344 384 416 516 559 624 688 832 1032 1118 1248 1376 1664 1677 2064 2236 2496 2752 3354 4128 4472 4992 5504 6708 8256 8944 13416 16512 17888 26832 35776 50311 53664 71552 100622 107328 150933 201244 214656 301866 402488 603732 654043 804976 1207464 1308086 1609952 1962129 2163373 2414928 2616172 3219904 3924258 4326746 4829856 5232344 6439808 6490119 7848516 8653492 9659712 10464688 12980238 15697032 17306984 19319424 20929376 25960476 28123849 31394064 34613968 41858752 51920952 56247698 62788128 69227936 83717504 84371547 103841904 112495396 125576256 138455872 168743094 207683808 224990792 251152512 276911744 337486188 415367616 449981584 674972376 830735232 899963168 1349944752 1799926336 2699889504 3599852672 5399779008 10799558016