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21430468920 = 2335752348781
BaseRepresentation
bin10011111101010110…
…110000000100111000
32001022112012121201010
4103331112300010320
5322342200001140
613502305153520
71356031660140
oct237526600470
961275177633
1021430468920
1190a7a39543
1241a102b8a0
132036b63953
141074289920
1585662d880
hex4fd5b0138

21430468920 has 128 divisors (see below), whose sum is σ = 73617891840. Its totient is φ = 4888926720.

The previous prime is 21430468909. The next prime is 21430468921. The reversal of 21430468920 is 2986403412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21430468921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 414930 + ... + 463710.

It is an arithmetic number, because the mean of its divisors is an integer number (575139780).

Almost surely, 221430468920 is an apocalyptic number.

21430468920 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 21430468920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36808945920).

21430468920 is an abundant number, since it is smaller than the sum of its proper divisors (52187422920).

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

21430468920 is a wasteful number, since it uses less digits than its factorization.

21430468920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49325 (or 49321 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 21430468920 in words is "twenty-one billion, four hundred thirty million, four hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 523 840 1046 1569 2092 2615 3138 3661 4184 5230 6276 7322 7845 10460 10983 12552 14644 15690 18305 20920 21966 29288 31380 36610 43932 48781 54915 62760 73220 87864 97562 109830 146343 146440 195124 219660 243905 292686 341467 390248 439320 487810 585372 682934 731715 975620 1024401 1170744 1365868 1463430 1707335 1951240 2048802 2731736 2926860 3414670 4097604 5122005 5853720 6829340 8195208 10244010 13658680 20488020 25512463 40976040 51024926 76537389 102049852 127562315 153074778 178587241 204099704 255124630 306149556 357174482 382686945 510249260 535761723 612299112 714348964 765373890 892936205 1020498520 1071523446 1428697928 1530747780 1785872410 2143046892 2678808615 3061495560 3571744820 4286093784 5357617230 7143489640 10715234460 21430468920