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21184022144 = 271676191601
BaseRepresentation
bin10011101110101010…
…101000011010000000
32000200100110211021202
4103232222220122000
5321341102202034
613422023040332
71346650134335
oct235652503200
960610424252
1021184022144
118a9091241a
1241325a00a8
131cc7a9665c
14104d65698c
1583eb9c47e
hex4eeaa8680

21184022144 has 64 divisors (see below), whose sum is σ = 42550401600. Its totient is φ = 10505011200.

The previous prime is 21184022137. The next prime is 21184022149. The reversal of 21184022144 is 44122048112.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (21184022149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13230944 + ... + 13232544.

It is an arithmetic number, because the mean of its divisors is an integer number (664850025).

Almost surely, 221184022144 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 21184022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21275200800).

21184022144 is an abundant number, since it is smaller than the sum of its proper divisors (21366379456).

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

21184022144 is a wasteful number, since it uses less digits than its factorization.

21184022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The spelling of 21184022144 in words is "twenty-one billion, one hundred eighty-four million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 167 334 619 668 1238 1336 1601 2476 2672 3202 4952 5344 6404 9904 10688 12808 19808 21376 25616 39616 51232 79232 102464 103373 204928 206746 267367 413492 534734 826984 991019 1069468 1653968 1982038 2138936 3307936 3964076 4277872 6615872 7928152 8555744 13231744 15856304 17111488 31712608 34222976 63425216 126850432 165500173 331000346 662000692 1324001384 2648002768 5296005536 10592011072 21184022144