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21432663120 = 2435118118433
BaseRepresentation
bin10011111101011111…
…000111110001010000
32001022200100002120210
4103331133013301100
5322343230204440
613502424204120
71356056426211
oct237537076120
961280302523
1021432663120
1190a91a8030
1241a1909640
1320374515ab
14107469b408
15856913a80
hex4fd7c7c50

21432663120 has 80 divisors (see below), whose sum is σ = 72481378752. Its totient is φ = 5195796480.

The previous prime is 21432663103. The next prime is 21432663127. The reversal of 21432663120 is 2136623412.

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

It is a super-4 number, since 4×214326631204 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21432663127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4056577 + ... + 4061856.

Almost surely, 221432663120 is an apocalyptic number.

21432663120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21432663120 is an abundant number, since it is smaller than the sum of its proper divisors (51048715632).

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

21432663120 is a wasteful number, since it uses less digits than its factorization.

21432663120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8118460 (or 8118454 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 21432663120 in words is "twenty-one billion, four hundred thirty-two million, six hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 8118433 16236866 24355299 32473732 40592165 48710598 64947464 81184330 89302763 97421196 121776495 129894928 162368660 178605526 194842392 243552990 267908289 324737320 357211052 389684784 446513815 487105980 535816578 649474640 714422104 893027630 974211960 1071633156 1339541445 1428844208 1786055260 1948423920 2143266312 2679082890 3572110520 4286532624 5358165780 7144221040 10716331560 21432663120