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21424795920 = 2433511901717
BaseRepresentation
bin10011111101000001…
…000111000100010000
32001022010112101211000
4103331001013010100
5322334221432140
613501543422000
71355632521603
oct237501070420
961263471730
1021424795920
1190a4814310
12419b154900
132035928748
14107361033a
15855daca30
hex4fd047110

21424795920 has 160 divisors (see below), whose sum is σ = 80505383040. Its totient is φ = 5193884160.

The previous prime is 21424795913. The next prime is 21424795957. The reversal of 21424795920 is 2959742412.

21424795920 is a `hidden beast` number, since 2 + 14 + 2 + 47 + 9 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 427099 + ... + 474618.

It is an arithmetic number, because the mean of its divisors is an integer number (503158644).

Almost surely, 221424795920 is an apocalyptic number.

21424795920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21424795920 is an abundant number, since it is smaller than the sum of its proper divisors (59080587120).

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

21424795920 is a wasteful number, since it uses less digits than its factorization.

21424795920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901750 (or 901738 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 21424795920 in words is "twenty-one billion, four hundred twenty-four million, seven hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 901717 1803434 2705151 3606868 4508585 5410302 7213736 8115453 9017170 9918887 10820604 13525755 14427472 16230906 18034340 19837774 21641208 24346359 27051510 29756661 32461812 36068680 39675548 40577265 43282416 48692718 49594435 54103020 59513322 64923624 72137360 79351096 81154530 89269983 97385436 99188870 108206040 119026644 121731795 129847248 148783305 158702192 162309060 178539966 194770872 198377740 216412080 238053288 243463590 267809949 297566610 324618120 357079932 389541744 396755480 446349915 476106576 486927180 535619898 595133220 649236240 714159864 793510960 892699830 973854360 1071239796 1190266440 1339049745 1428319728 1785399660 1947708720 2142479592 2380532880 2678099490 3570799320 4284959184 5356198980 7141598640 10712397960 21424795920