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21433202320 = 2451930374643
BaseRepresentation
bin10011111101100001…
…001011011010010000
32001022201100111020011
4103331201023122100
5322343344433240
613502443524304
71356064133215
oct237541133220
961281314204
1021433202320
1190a9536152
1241a1b29694
1320375acb4a
14107479bb0c
158569bd6ea
hex4fd84b690

21433202320 has 80 divisors (see below), whose sum is σ = 52483515840. Its totient is φ = 8117632512.

The previous prime is 21433202317. The next prime is 21433202363. The reversal of 21433202320 is 2320233412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21433202291 and 21433202300.

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, 4613919 + ... + 4618561.

It is an arithmetic number, because the mean of its divisors is an integer number (656043948).

Almost surely, 221433202320 is an apocalyptic number.

21433202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21433202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26241757920).

21433202320 is an abundant number, since it is smaller than the sum of its proper divisors (31050313520).

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

21433202320 is a wasteful number, since it uses less digits than its factorization.

21433202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712 (or 7706 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 21433202320 its reverse (2320233412), we get a palindrome (23753435732).

The spelling of 21433202320 in words is "twenty-one billion, four hundred thirty-three million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 3037 4643 6074 9286 12148 15185 18572 23215 24296 30370 37144 46430 48592 57703 60740 74288 88217 92860 115406 121480 176434 185720 230812 242960 288515 352868 371440 441085 461624 577030 705736 882170 923248 1154060 1411472 1764340 2308120 3528680 4616240 7057360 14100791 28201582 56403164 70503955 112806328 141007910 225612656 267915029 282015820 535830058 564031640 1071660116 1128063280 1339575145 2143320232 2679150290 4286640464 5358300580 10716601160 21433202320