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21459024048 = 2437115998407
BaseRepresentation
bin10011111111000011…
…101011100010110000
32001101111221100222110
4103333003223202300
5322422002232143
613505205205320
71356526460220
oct237703534260
961344840873
1021459024048
119112072420
1241aa700840
13203ca51087
141077da0080
15858dbe533
hex4ff0eb8b0

21459024048 has 160 divisors (see below), whose sum is σ = 70286929920. Its totient is φ = 5479246080.

The previous prime is 21459024043. The next prime is 21459024049. The reversal of 21459024048 is 84042095412.

It is a junction number, because it is equal to n+sod(n) for n = 21459023997 and 21459024015.

It is not an unprimeable number, because it can be changed into a prime (21459024043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168861 + ... + 267267.

It is an arithmetic number, because the mean of its divisors is an integer number (439293312).

Almost surely, 221459024048 is an apocalyptic number.

21459024048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21459024048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35143464960).

21459024048 is an abundant number, since it is smaller than the sum of its proper divisors (48827905872).

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

21459024048 is a wasteful number, since it uses less digits than its factorization.

21459024048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98495 (or 98489 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 21459024048 in words is "twenty-one billion, four hundred fifty-nine million, twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 59 66 77 84 88 112 118 132 154 168 176 177 231 236 264 308 336 354 413 462 472 528 616 649 708 826 924 944 1232 1239 1298 1416 1652 1848 1947 2478 2596 2832 3304 3696 3894 4543 4956 5192 6608 7788 9086 9912 10384 13629 15576 18172 19824 27258 31152 36344 54516 72688 98407 109032 196814 218064 295221 393628 590442 688849 787256 1082477 1180884 1377698 1574512 2066547 2164954 2361768 2755396 3247431 4133094 4329908 4723536 5510792 5806013 6494862 7577339 8266188 8659816 11021584 11612026 12989724 15154678 16532376 17319632 17418039 22732017 23224052 25979448 30309356 33064752 34836078 40642091 45464034 46448104 51958896 60618712 63866143 69672156 81284182 90928068 92896208 121237424 121926273 127732286 139344312 162568364 181856136 191598429 243852546 255464572 278688624 325136728 363712272 383196858 447063001 487705092 510929144 650273456 766393716 894126002 975410184 1021858288 1341189003 1532787432 1788252004 1950820368 2682378006 3065574864 3576504008 5364756012 7153008016 10729512024 21459024048