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21464229888 = 211322115519
BaseRepresentation
bin10011111111010111…
…100010100000000000
32001101212201212001100
4103333113202200000
5322424320324023
613505512534400
71356621641463
oct237727424000
961355655040
1021464229888
119114aa8672
1241b03b1400
132040b5475a
1410789572da
1585959bc43
hex4ff5e2800

21464229888 has 144 divisors (see below), whose sum is σ = 62297726400. Its totient is φ = 7119544320.

The previous prime is 21464229883. The next prime is 21464229959. The reversal of 21464229888 is 88892246412.

21464229888 is a `hidden beast` number, since 214 + 64 + 2 + 298 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21464229883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3886393 + ... + 3891911.

It is an arithmetic number, because the mean of its divisors is an integer number (432623100).

Almost surely, 221464229888 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 21464229888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31148863200).

21464229888 is an abundant number, since it is smaller than the sum of its proper divisors (40833496512).

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

21464229888 is a wasteful number, since it uses less digits than its factorization.

21464229888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5758 (or 5735 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 21464229888 in words is "twenty-one billion, four hundred sixty-four million, two hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 256 288 384 422 512 576 633 768 844 1024 1152 1266 1536 1688 1899 2048 2304 2532 3072 3376 3798 4608 5064 5519 6144 6752 7596 9216 10128 11038 13504 15192 16557 18432 20256 22076 27008 30384 33114 40512 44152 49671 54016 60768 66228 81024 88304 99342 108032 121536 132456 162048 176608 198684 216064 243072 264912 324096 353216 397368 432128 486144 529824 648192 706432 794736 972288 1059648 1164509 1296384 1412864 1589472 1944576 2119296 2329018 2825728 3178944 3493527 3889152 4238592 4658036 5651456 6357888 6987054 8477184 9316072 10480581 11302912 12715776 13974108 16954368 18632144 20961162 25431552 27948216 33908736 37264288 41922324 50863104 55896432 74528576 83844648 101726208 111792864 149057152 167689296 223585728 298114304 335378592 447171456 596228608 670757184 894342912 1192457216 1341514368 1788685824 2384914432 2683028736 3577371648 5366057472 7154743296 10732114944 21464229888