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21914233856 = 2101031731201
BaseRepresentation
bin10100011010001100…
…001010110000000000
32002120020111102102222
4110122030022300000
5324340020440411
614022310030212
71404024625424
oct243214126000
962506442388
1021914233856
119326017279
1242b7048368
1320b31531a8
1410bc616b84
15883d3b4db
hex51a30ac00

21914233856 has 88 divisors (see below), whose sum is σ = 44525099424. Its totient is φ = 10779033600.

The previous prime is 21914233837. The next prime is 21914233879. The reversal of 21914233856 is 65833241912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18246056 + ... + 18247256.

Almost surely, 221914233856 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 21914233856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22262549712).

21914233856 is an abundant number, since it is smaller than the sum of its proper divisors (22610865568).

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

21914233856 is a wasteful number, since it uses less digits than its factorization.

21914233856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1479 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The spelling of 21914233856 in words is "twenty-one billion, nine hundred fourteen million, two hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 103 128 173 206 256 346 412 512 692 824 1024 1201 1384 1648 2402 2768 3296 4804 5536 6592 9608 11072 13184 17819 19216 22144 26368 35638 38432 44288 52736 71276 76864 88576 105472 123703 142552 153728 177152 207773 247406 285104 307456 415546 494812 570208 614912 831092 989624 1140416 1229824 1662184 1979248 2280832 3324368 3958496 4561664 6648736 7916992 9123328 13297472 15833984 18246656 21400619 26594944 31667968 42801238 53189888 63335936 85602476 106379776 126671872 171204952 212759552 342409904 684819808 1369639616 2739279232 5478558464 10957116928 21914233856