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21409888464 = 2433291708963
BaseRepresentation
bin10011111100001000…
…001111100011010000
32001021002111000122000
4103330020033203100
5322321412412324
613500252114000
71355362022616
oct237410174320
961232430560
1021409888464
1190973620a8
124196165900
132032809273
14107164d6b6
158549159c9
hex4fc20f8d0

21409888464 has 80 divisors (see below), whose sum is σ = 63573460800. Its totient is φ = 6890534784.

The previous prime is 21409888459. The next prime is 21409888477. The reversal of 21409888464 is 46488890412.

It is a happy number.

21409888464 is a `hidden beast` number, since 2 + 14 + 0 + 98 + 88 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 21409888464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 841954 + ... + 867009.

It is an arithmetic number, because the mean of its divisors is an integer number (794668260).

Almost surely, 221409888464 is an apocalyptic number.

21409888464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21409888464 is an abundant number, since it is smaller than the sum of its proper divisors (42163572336).

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

21409888464 is a wasteful number, since it uses less digits than its factorization.

21409888464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709009 (or 1708997 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 21409888464 in words is "twenty-one billion, four hundred nine million, eight hundred eighty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 6264 12528 1708963 3417926 5126889 6835852 10253778 13671704 15380667 20507556 27343408 30761334 41015112 46142001 49559927 61522668 82030224 92284002 99119854 123045336 148679781 184568004 198239708 246090672 297359562 369136008 396479416 446039343 594719124 738272016 792958832 892078686 1189438248 1338118029 1784157372 2378876496 2676236058 3568314744 5352472116 7136629488 10704944232 21409888464