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10360716016 = 2472794092
BaseRepresentation
bin10011010011000101…
…11111101011110000
3222202001111220110211
421221202333223300
5132204320403031
64432030033504
7514514430100
oct115142775360
928661456424
1010360716016
114437399322
122011948894
13c916560c1
1470401d200
154098b1bb1
hex2698bfaf0

10360716016 has 90 divisors (see below), whose sum is σ = 23704799760. Its totient is φ = 4373381376.

The previous prime is 10360716013. The next prime is 10360716029. The reversal of 10360716016 is 61061706301.

It is a super-3 number, since 3×103607160163 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10360716013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25331620 + ... + 25332028.

It is an arithmetic number, because the mean of its divisors is an integer number (263386664).

Almost surely, 210360716016 is an apocalyptic number.

10360716016 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 10360716016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11852399880).

10360716016 is an abundant number, since it is smaller than the sum of its proper divisors (13344083744).

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

10360716016 is an frugal number, since it uses more digits than its factorization.

10360716016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 10360716016 in words is "ten billion, three hundred sixty million, seven hundred sixteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 79 98 112 158 196 316 392 409 553 632 784 818 1106 1264 1636 2212 2863 3272 3871 4424 5726 6544 7742 8848 11452 15484 20041 22904 30968 32311 40082 45808 61936 64622 80164 129244 160328 167281 226177 258488 320656 334562 452354 516976 669124 904708 1170967 1338248 1583239 1809416 2341934 2676496 3166478 3618832 4683868 6332956 8196769 9367736 12665912 13215199 16393538 18735472 25331824 26430398 32787076 52860796 65574152 92506393 105721592 131148304 185012786 211443184 370025572 647544751 740051144 1295089502 1480102288 2590179004 5180358008 10360716016