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21226026432 = 2631327533089
BaseRepresentation
bin10011110001001010…
…110111010111000000
32000210021111212100010
4103301022313113000
5321432330321212
613430123224520
71351000150662
oct236112672700
960707455303
1021226026432
1190025a1906
124144678140
1320036b2570
14105506c532
158436e803c
hex4f12b75c0

21226026432 has 112 divisors (see below), whose sum is σ = 60522124320. Its totient is φ = 6526599168.

The previous prime is 21226026427. The next prime is 21226026457. The reversal of 21226026432 is 23462062212.

It is a self number, because there is not a number n which added to its sum of digits gives 21226026432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6869944 + ... + 6873032.

It is an arithmetic number, because the mean of its divisors is an integer number (540376110).

Almost surely, 221226026432 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 21226026432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30261062160).

21226026432 is an abundant number, since it is smaller than the sum of its proper divisors (39296097888).

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

21226026432 is a wasteful number, since it uses less digits than its factorization.

21226026432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 21226026432 its reverse (23462062212), we get a palindrome (44688088644).

The spelling of 21226026432 in words is "twenty-one billion, two hundred twenty-six million, twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 2753 3089 5506 6178 8259 9267 11012 12356 16518 18534 22024 24712 33036 35789 37068 40157 44048 49424 66072 71578 74136 80314 88096 98848 107367 120471 132144 143156 148272 160628 176192 197696 214734 240942 264288 286312 296544 321256 429468 481884 528576 572624 593088 642512 858936 963768 1145248 1285024 1717872 1927536 2290496 2570048 3435744 3855072 6871488 7710144 8504017 17008034 25512051 34016068 51024102 68032136 102048204 110552221 136064272 204096408 221104442 272128544 331656663 408192816 442208884 544257088 663313326 816385632 884417768 1326626652 1632771264 1768835536 2653253304 3537671072 5306506608 7075342144 10613013216 21226026432