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21879381480 = 23351117975017
BaseRepresentation
bin10100011000000111…
…001101110111101000
32002110210220201222020
4110120013031313220
5324302110201410
614015023024440
71403122450125
oct243007156750
962423821866
1021879381480
119308382160
1242a743b120
1320a8b6c698
1410b7b4374c
15880c54a70
hex5181cdde8

21879381480 has 128 divisors (see below), whose sum is σ = 75817399680. Its totient is φ = 4992081920.

The previous prime is 21879381479. The next prime is 21879381481. The reversal of 21879381480 is 8418397812.

It is an interprime number because it is at equal distance from previous prime (21879381479) and next prime (21879381481).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (21879381481) 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, 465069 + ... + 509948.

It is an arithmetic number, because the mean of its divisors is an integer number (592323435).

Almost surely, 221879381480 is an apocalyptic number.

21879381480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21879381480 is an abundant number, since it is smaller than the sum of its proper divisors (53938018200).

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

21879381480 is a wasteful number, since it uses less digits than its factorization.

21879381480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975059 (or 975055 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 21879381480 in words is "twenty-one billion, eight hundred seventy-nine million, three hundred eighty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 975017 1950034 2925051 3900068 4875085 5850102 7800136 9750170 10725187 11700204 14625255 16575289 19500340 21450374 23400408 29250510 32175561 33150578 39000680 42900748 49725867 53625935 58501020 64351122 66301156 82876445 85801496 99451734 107251870 117002040 128702244 132602312 160877805 165752890 182328179 198903468 214503740 248629335 257404488 321755610 331505780 364656358 397806936 429007480 497258670 546984537 643511220 663011560 729312716 911640895 994517340 1093969074 1287022440 1458625432 1823281790 1989034680 2187938148 2734922685 3646563580 4375876296 5469845370 7293127160 10939690740 21879381480