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21430335828 = 22311198839677
BaseRepresentation
bin10011111101010110…
…001111100101010100
32001022111221212010210
4103331112033211110
5322342131221303
613502302245420
71356030564126
oct237526174524
961274855123
1021430335828
1190a7958550
1241a0b86870
132036b181b5
141074253216
15856604203
hex4fd58f954

21430335828 has 96 divisors (see below), whose sum is σ = 57491965440. Its totient is φ = 6144647040.

The previous prime is 21430335799. The next prime is 21430335851. The reversal of 21430335828 is 82853303412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2209726 + ... + 2219402.

It is an arithmetic number, because the mean of its divisors is an integer number (598874640).

Almost surely, 221430335828 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 21430335828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28745982720).

21430335828 is an abundant number, since it is smaller than the sum of its proper divisors (36061629612).

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

21430335828 is a wasteful number, since it uses less digits than its factorization.

21430335828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10597 (or 10595 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 21430335828 in words is "twenty-one billion, four hundred thirty million, three hundred thirty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 883 1254 1766 2508 2649 3532 5298 9677 9713 10596 16777 19354 19426 29031 29139 33554 38708 38852 50331 58062 58278 67108 100662 106447 116124 116556 183863 184547 201324 212894 319341 367726 369094 425788 551589 553641 638682 735452 738188 1103178 1107282 1277364 2022493 2206356 2214564 4044986 6067479 8089972 8544791 12134958 17089582 24269916 25634373 34179164 51268746 93992701 102537492 162351029 187985402 281978103 324702058 375970804 487053087 563956206 649404116 974106174 1127912412 1785861319 1948212348 3571722638 5357583957 7143445276 10715167914 21430335828