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21243613664 = 257213280167
BaseRepresentation
bin10011110010001101…
…111101000111100000
32000211111121101111002
4103302031331013200
5322001331114124
613431552211132
71351302510500
oct236215750740
960744541432
1021243613664
119011514409
12414a539aa8
13200722c700
141057529a00
1584501e0ae
hex4f237d1e0

21243613664 has 108 divisors (see below), whose sum is σ = 52682641704. Its totient is φ = 8403962112.

The previous prime is 21243613663. The next prime is 21243613673. The reversal of 21243613664 is 46631634212.

It is a super-2 number, since 2×212436136642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21243613663) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 224909 + ... + 305075.

It is an arithmetic number, because the mean of its divisors is an integer number (487802238).

Almost surely, 221243613664 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 21243613664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26341320852).

21243613664 is an abundant number, since it is smaller than the sum of its proper divisors (31439028040).

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

21243613664 is a wasteful number, since it uses less digits than its factorization.

21243613664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80217 (or 80189 counting only the distinct ones).

The product of its digits is 124416, while the sum is 38.

The spelling of 21243613664 in words is "twenty-one billion, two hundred forty-three million, six hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 169 182 196 208 224 338 364 392 416 637 676 728 784 1183 1274 1352 1456 1568 2366 2548 2704 2912 4732 5096 5408 8281 9464 10192 16562 18928 20384 33124 37856 66248 80167 132496 160334 264992 320668 561169 641336 1042171 1122338 1282672 2084342 2244676 2565344 3928183 4168684 4489352 7295197 7856366 8337368 8978704 13548223 14590394 15712732 16674736 17957408 27096446 29180788 31425464 33349472 51066379 54192892 58361576 62850928 94837561 102132758 108385784 116723152 125701856 189675122 204265516 216771568 233446304 379350244 408531032 433543136 663862927 758700488 817062064 1327725854 1517400976 1634124128 2655451708 3034801952 5310903416 10621806832 21243613664