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21431064798 = 232112132332909
BaseRepresentation
bin10011111101011001…
…000001100011011110
32001022120022220002200
4103331121001203132
5322342323033143
613502330032330
71356040021323
oct237531014336
961276286080
1021431064798
1190a8306200
1241a12786a6
132037011c40
1410743a2b4a
158566ea1d3
hex4fd6418de

21431064798 has 144 divisors (see below), whose sum is σ = 57356601120. Its totient is φ = 5733889920.

The previous prime is 21431064797. The next prime is 21431064829. The reversal of 21431064798 is 89746013412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21431064797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 634768 + ... + 667676.

It is an arithmetic number, because the mean of its divisors is an integer number (398309730).

Almost surely, 221431064798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21431064798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28678300560).

21431064798 is an abundant number, since it is smaller than the sum of its proper divisors (35925536322).

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

21431064798 is a wasteful number, since it uses less digits than its factorization.

21431064798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32975 (or 32961 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 21431064798 in words is "twenty-one billion, four hundred thirty-one million, sixty-four thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 9 11 13 18 22 23 26 33 39 46 66 69 78 99 117 121 138 143 198 207 234 242 253 286 299 363 414 429 506 598 726 759 858 897 1089 1287 1518 1573 1794 2178 2277 2574 2691 2783 3146 3289 4554 4719 5382 5566 6578 8349 9438 9867 14157 16698 19734 25047 28314 29601 32909 36179 50094 59202 65818 72358 98727 108537 197454 217074 296181 325611 361999 427817 592362 651222 723998 756907 855634 1085997 1283451 1513814 2171994 2270721 2566902 3257991 3850353 3981989 4541442 4705987 6515982 6812163 7700706 7963978 8325977 9411974 9839791 11945967 13624326 14117961 16651954 19679582 23891934 24977931 28235922 29519373 35837901 42353883 49955862 51765857 59038746 71675802 74933793 84707766 88558119 91585747 103531714 108237701 149867586 155297571 177116238 183171494 216475402 274757241 310595142 324713103 465892713 549514482 649426206 824271723 931785426 974139309 1190614711 1648543446 1948278618 2381229422 3571844133 7143688266 10715532399 21431064798