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21231520384 = 27439074253
BaseRepresentation
bin10011110001011111…
…110100101010000000
32000210122211222121211
4103301133310222000
5321440232123014
613430441055504
71351064642224
oct236137645200
960718758554
1021231520384
119005704568
124146487594
132004887119
141055a9c784
15843e30cc4
hex4f17f4a80

21231520384 has 64 divisors (see below), whose sum is σ = 43338731040. Its totient is φ = 10355014656.

The previous prime is 21231520381. The next prime is 21231520391. The reversal of 21231520384 is 48302513212.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (21231520381) 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 7 ways as a sum of consecutive naturals, for example, 4990002 + ... + 4994254.

Almost surely, 221231520384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21231520384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21669365520).

21231520384 is an abundant number, since it is smaller than the sum of its proper divisors (22107210656).

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

21231520384 is an equidigital number, since it uses as much as digits as its factorization.

21231520384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 21231520384 in words is "twenty-one billion, two hundred thirty-one million, five hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 907 1376 1814 2752 3628 4253 5504 7256 8506 14512 17012 29024 34024 39001 58048 68048 78002 116096 136096 156004 182879 272192 312008 365758 544384 624016 731516 1248032 1463032 2496064 2926064 3857471 4992128 5852128 7714942 11704256 15429884 23408512 30859768 61719536 123439072 165871253 246878144 331742506 493756288 663485012 1326970024 2653940048 5307880096 10615760192 21231520384