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21214962384 = 24372113072671
BaseRepresentation
bin10011110000100000…
…101010001011010000
32000202111200202022120
4103300200222023100
5321422012244014
613425050134240
71350504130200
oct236040521320
960674622276
1021214962384
118aa7325270
124140a21380
13200130a5a5
1410537cc400
1584275eba9
hex4f082a2d0

21214962384 has 240 divisors, whose sum is σ = 69801532416. Its totient is φ = 5490374400.

The previous prime is 21214962257. The next prime is 21214962403. The reversal of 21214962384 is 48326941212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7941369 + ... + 7944039.

Almost surely, 221214962384 is an apocalyptic number.

21214962384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21214962384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34900766208).

21214962384 is an abundant number, since it is smaller than the sum of its proper divisors (48586570032).

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

21214962384 is a wasteful number, since it uses less digits than its factorization.

21214962384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 3001 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The spelling of 21214962384 in words is "twenty-one billion, two hundred fourteen million, nine hundred sixty-two thousand, three hundred eighty-four".