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11722227984 = 243410982981
BaseRepresentation
bin10101110101011001…
…10000000100010000
31010020221102212210000
422322230300010100
5143001342243414
65215104010000
7563326202535
oct127254600420
933227385700
1011722227984
114a7598a425
122331900900
13114a74a29c
147d2b92d8c
154891a2b09
hex2bab30110

11722227984 has 100 divisors (see below), whose sum is σ = 34239203020. Its totient is φ = 3871514880.

The previous prime is 11722227977. The next prime is 11722228019. The reversal of 11722227984 is 48972222711.

It can be written as a sum of positive squares in 2 ways, for example, as 5979619584 + 5742608400 = 77328^2 + 75780^2 .

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 19 ways as a sum of consecutive naturals, for example, 99774 + ... + 182754.

Almost surely, 211722227984 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 11722227984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17119601510).

11722227984 is an abundant number, since it is smaller than the sum of its proper divisors (22516975036).

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

11722227984 is a wasteful number, since it uses less digits than its factorization.

11722227984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83110 (or 83095 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 11722227984 in words is "eleven billion, seven hundred twenty-two million, two hundred twenty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 109 144 162 216 218 324 327 432 436 648 654 872 981 1296 1308 1744 1962 2616 2943 3924 5232 5886 7848 8829 11772 15696 17658 23544 35316 47088 70632 82981 141264 165962 248943 331924 497886 663848 746829 995772 1327696 1493658 1991544 2240487 2987316 3983088 4480974 5974632 6721461 8961948 9044929 11949264 13442922 17923896 18089858 26885844 27134787 35847792 36179716 53771688 54269574 72359432 81404361 107543376 108539148 144718864 162808722 217078296 244213083 325617444 434156592 488426166 651234888 732639249 976852332 1302469776 1465278498 1953704664 2930556996 3907409328 5861113992 11722227984