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21452105024 = 26767210667
BaseRepresentation
bin10011111110101001…
…010010010101000000
32001101000220211212022
4103332221102111000
5322413214330044
613504401021012
71356413612150
oct237651222500
961330824768
1021452105024
119109177019
1241a8324768
13203b49a98c
1410770bc760
158584a43ee
hex4fea52540

21452105024 has 84 divisors (see below), whose sum is σ = 49391901216. Its totient is φ = 9055689984.

The previous prime is 21452104969. The next prime is 21452105057. The reversal of 21452105024 is 42050125412.

It is a junction number, because it is equal to n+sod(n) for n = 21452104984 and 21452105002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2005739 + ... + 2016405.

It is an arithmetic number, because the mean of its divisors is an integer number (587998824).

Almost surely, 221452105024 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 21452105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24695950608).

21452105024 is an abundant number, since it is smaller than the sum of its proper divisors (27939796192).

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

21452105024 is an equidigital number, since it uses as much as digits as its factorization.

21452105024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10820 (or 10743 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 21452105024 in words is "twenty-one billion, four hundred fifty-two million, one hundred five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 134 224 268 448 469 536 938 1072 1876 2144 3752 4288 4489 7504 8978 10667 15008 17956 21334 30016 31423 35912 42668 62846 71824 74669 85336 125692 143648 149338 170672 251384 287296 298676 341344 502768 597352 682688 714689 1005536 1194704 1429378 2011072 2389408 2858756 4778816 5002823 5717512 10005646 11435024 20011292 22870048 40022584 45740096 47884163 80045168 95768326 160090336 191536652 320180672 335189141 383073304 670378282 766146608 1340756564 1532293216 2681513128 3064586432 5363026256 10726052512 21452105024