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21714783984 = 2432156796233
BaseRepresentation
bin10100001110010011…
…010100111011110000
32002001100012022122200
4110032103110323300
5323432441041414
613550423103200
71366053422055
oct241623247360
962040168580
1021714783984
11923347a673
1242602a1b00
132080a2c40a
14109dd3902c
15871590109
hex50e4d4ef0

21714783984 has 60 divisors (see below), whose sum is σ = 60810649536. Its totient is φ = 7233566976.

The previous prime is 21714783983. The next prime is 21714783997. The reversal of 21714783984 is 48938741712.

21714783984 is a `hidden beast` number, since 21 + 71 + 478 + 3 + 9 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21714783984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21714783983) 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 11 ways as a sum of consecutive naturals, for example, 177532 + ... + 273764.

Almost surely, 221714783984 is an apocalyptic number.

21714783984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21714783984 is an abundant number, since it is smaller than the sum of its proper divisors (39095865552).

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

21714783984 is a wasteful number, since it uses less digits than its factorization.

21714783984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97814 (or 97805 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 21714783984 in words is "twenty-one billion, seven hundred fourteen million, seven hundred eighty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1567 3134 4701 6268 9402 12536 14103 18804 25072 28206 37608 56412 75216 96233 112824 192466 225648 288699 384932 577398 769864 866097 1154796 1539728 1732194 2309592 3464388 4619184 6928776 13857552 150797111 301594222 452391333 603188444 904782666 1206376888 1357173999 1809565332 2412753776 2714347998 3619130664 5428695996 7238261328 10857391992 21714783984