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22649419104 = 2531336974909
BaseRepresentation
bin10101000110000000…
…101011010101100000
32011110110212201000020
4111012000223111200
5332341222402404
614223251353440
71431162612564
oct250600532540
964413781006
1022649419104
119673008894
1244812b2880
13219c561750
14114c10d6a4
158c865ded9
hex54602b560

22649419104 has 96 divisors (see below), whose sum is σ = 64058531040. Its totient is φ = 6965747712.

The previous prime is 22649419087. The next prime is 22649419109. The reversal of 22649419104 is 40191494622.

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 (22649419109) by changing a digit.

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, 4611402 + ... + 4616310.

It is an arithmetic number, because the mean of its divisors is an integer number (667276365).

Almost surely, 222649419104 is an apocalyptic number.

22649419104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22649419104 is an abundant number, since it is smaller than the sum of its proper divisors (41409111936).

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

22649419104 is a wasteful number, since it uses less digits than its factorization.

22649419104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8632 (or 8624 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 22649419104 in words is "twenty-two billion, six hundred forty-nine million, four hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3697 4909 7394 9818 11091 14727 14788 19636 22182 29454 29576 39272 44364 48061 58908 59152 63817 78544 88728 96122 117816 118304 127634 144183 157088 177456 191451 192244 235632 255268 288366 354912 382902 384488 471264 510536 576732 765804 768976 1021072 1153464 1531608 1537952 2042144 2306928 3063216 4613856 6126432 18148573 36297146 54445719 72594292 108891438 145188584 217782876 235931449 290377168 435565752 471862898 580754336 707794347 871131504 943725796 1415588694 1742263008 1887451592 2831177388 3774903184 5662354776 7549806368 11324709552 22649419104