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21945340248 = 23313373375641
BaseRepresentation
bin10100011100000010…
…110101000101011000
32002122102000210101120
4110130002311011120
5324421001341443
614025340445240
71404553212546
oct243402650530
962572023346
1021945340248
119341632a37
124305549820
1320b9724940
1410c27d2d96
15886933083
hex51c0b5158

21945340248 has 128 divisors (see below), whose sum is σ = 60871312320. Its totient is φ = 6549258240.

The previous prime is 21945340247. The next prime is 21945340301. The reversal of 21945340248 is 84204354912.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21945340247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3887508 + ... + 3893148.

Almost surely, 221945340248 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 21945340248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30435656160).

21945340248 is an abundant number, since it is smaller than the sum of its proper divisors (38925972072).

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

21945340248 is a wasteful number, since it uses less digits than its factorization.

21945340248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6037 (or 6033 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 21945340248 in words is "twenty-one billion, nine hundred forty-five million, three hundred forty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 337 444 481 674 888 962 1011 1348 1443 1924 2022 2696 2886 3848 4044 4381 5641 5772 8088 8762 11282 11544 12469 13143 16923 17524 22564 24938 26286 33846 35048 37407 45128 49876 52572 67692 73333 74814 99752 105144 135384 146666 149628 162097 208717 219999 293332 299256 324194 417434 439998 486291 586664 626151 648388 834868 879996 972582 1252302 1296776 1669736 1759992 1901017 1945164 2504604 2713321 3802034 3890328 5009208 5426642 5703051 7604068 8139963 10853284 11406102 15208136 16279926 21706568 22812204 24713221 32559852 45624408 49426442 65119704 70337629 74139663 98852884 140675258 148279326 197705768 211012887 281350516 296558652 422025774 562701032 593117304 844051548 914389177 1688103096 1828778354 2743167531 3657556708 5486335062 7315113416 10972670124 21945340248