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63213888384 = 273254873167
BaseRepresentation
bin111010110111110101…
…110110001110000000
320001011111002020210100
4322313311312032000
52013430223412014
645012353002400
74365333120453
oct726765661600
9201144066710
1063213888384
1124899656a69
1210302253400
135c6554c3aa
1430b965549a
15199e996009
hexeb7d76380

63213888384 has 48 divisors (see below), whose sum is σ = 181904551920. Its totient is φ = 21071295744.

The previous prime is 63213888347. The next prime is 63213888389. The reversal of 63213888384 is 48388831236.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 63213888384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63213888389) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27435432 + ... + 27437735.

It is an arithmetic number, because the mean of its divisors is an integer number (3789678165).

Almost surely, 263213888384 is an apocalyptic number.

63213888384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

63213888384 is an abundant number, since it is smaller than the sum of its proper divisors (118690663536).

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

63213888384 is a wasteful number, since it uses less digits than its factorization.

63213888384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54873187 (or 54873172 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 63213888384 in words is "sixty-three billion, two hundred thirteen million, eight hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 54873167 109746334 164619501 219492668 329239002 438985336 493858503 658478004 877970672 987717006 1316956008 1755941344 1975434012 2633912016 3511882688 3950868024 5267824032 7023765376 7901736048 10535648064 15803472096 21071296128 31606944192 63213888384