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21588130944 = 273218739697
BaseRepresentation
bin10100000110110000…
…001011110010000000
32001201111212200100100
4110012300023302000
5323203030142234
613530100322400
71362655041162
oct240660136200
961644780310
1021588130944
119178a34336
1242259a3400
1320607161a3
14108b1aa932
158653c3399
hex506c0bc80

21588130944 has 48 divisors (see below), whose sum is σ = 62122098870. Its totient is φ = 7196043264.

The previous prime is 21588130943. The next prime is 21588130973. The reversal of 21588130944 is 44903188512.

21588130944 is a `hidden beast` number, since 21 + 588 + 1 + 3 + 0 + 9 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17582760000 + 4005370944 = 132600^2 + 63288^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×215881309442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21588130944.

It is not an unprimeable number, because it can be changed into a prime (21588130943) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9368697 + ... + 9371000.

Almost surely, 221588130944 is an apocalyptic number.

21588130944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21588130944 is an abundant number, since it is smaller than the sum of its proper divisors (40533967926).

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

21588130944 is a wasteful number, since it uses less digits than its factorization.

21588130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18739717 (or 18739702 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 21588130944 in words is "twenty-one billion, five hundred eighty-eight million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 18739697 37479394 56219091 74958788 112438182 149917576 168657273 224876364 299835152 337314546 449752728 599670304 674629092 899505456 1199340608 1349258184 1799010912 2398681216 2698516368 3598021824 5397032736 7196043648 10794065472 21588130944