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23686014748032 = 2732713317288471
BaseRepresentation
bin1010110001010110101000…
…11111101100010110000000
310002212100202002111202202200
411120223110133230112000
511101032424233414112
6122213112134313200
74663154345310120
oct530532437542600
9102770662452680
1023686014748032
11760220091762a
1227a66124b8800
13102a773a36740
145bc5a2d00c80
152b11da9b3cdc
hex158ad47ec580

23686014748032 has 384 divisors, whose sum is σ = 86594044293120. Its totient is φ = 6045348556800.

The previous prime is 23686014748013. The next prime is 23686014748037. The reversal of 23686014748032 is 23084741068632.

23686014748032 is a `hidden beast` number, since 2 + 3 + 6 + 8 + 60 + 1 + 474 + 80 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×236860147480322 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23686014748032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23686014748037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394444 + ... + 6894027.

It is an arithmetic number, because the mean of its divisors is an integer number (225505323680).

Almost surely, 223686014748032 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 23686014748032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43297022146560).

23686014748032 is an abundant number, since it is smaller than the sum of its proper divisors (62908029545088).

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

23686014748032 is a wasteful number, since it uses less digits than its factorization.

23686014748032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7288542 (or 7288527 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 23686014748032 in words is "twenty-three trillion, six hundred eighty-six billion, fourteen million, seven hundred forty-eight thousand, thirty-two".