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21664652611404 = 223111015772816311
BaseRepresentation
bin1001110110100001100011…
…11011000100111101001100
32211201010020220000221101010
410323100301323010331030
510314423202032031104
6114024334244445220
74364135200531245
oct473206173047514
984633226027333
1021664652611404
1169a2a2266a380
12251a9083a9810
13c11c7784514a
1454c8092b1ccc
152788323a4489
hex13b431ec4f4c

21664652611404 has 96 divisors (see below), whose sum is σ = 55788932731392. Its totient is φ = 6488778240000.

The previous prime is 21664652611403. The next prime is 21664652611477. The reversal of 21664652611404 is 40411625646612.

It is not an unprimeable number, because it can be changed into a prime (21664652611403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6284409 + ... + 9100719.

It is an arithmetic number, because the mean of its divisors is an integer number (581134715952).

Almost surely, 221664652611404 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 21664652611404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27894466365696).

21664652611404 is an abundant number, since it is smaller than the sum of its proper divisors (34124280119988).

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

21664652611404 is a wasteful number, since it uses less digits than its factorization.

21664652611404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817007 (or 2817005 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 21664652611404 in words is "twenty-one trillion, six hundred sixty-four billion, six hundred fifty-two million, six hundred eleven thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 577 606 1111 1154 1212 1731 2222 2308 3333 3462 4444 6347 6666 6924 12694 13332 19041 25388 38082 58277 76164 116554 174831 233108 349662 641047 699324 1282094 1923141 2564188 2816311 3846282 5632622 7692564 8448933 11265244 16897866 30979421 33795732 61958842 92938263 123917684 185876526 284447411 371753052 568894822 853342233 1137789644 1625011447 1706684466 3128921521 3250022894 3413368932 4875034341 6257843042 6500045788 9386764563 9750068682 12515686084 17875125917 18773529126 19500137364 35750251834 37547058252 53625377751 71500503668 107250755502 164126156147 214501511004 328252312294 492378468441 656504624588 984756936882 1805387717617 1969513873764 3610775435234 5416163152851 7221550870468 10832326305702 21664652611404