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23081352332256 = 25327910915759281
BaseRepresentation
bin1010011111110000010111…
…10011101000001111100000
310000201120000010111110012200
411033320023303220033200
511011131102144113011
6121031232112253200
74601400266501151
oct517701363501740
9100646003443180
1023081352332256
117399823731059
1227093a2241200
13cb574017753a
1459b201753928
152a05eb674856
hex14fe0bce83e0

23081352332256 has 288 divisors, whose sum is σ = 67506642403200. Its totient is φ = 7478635806720.

The previous prime is 23081352332231. The next prime is 23081352332261. The reversal of 23081352332256 is 65223325318032.

It is a happy number.

23081352332256 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 13 + 52 + 332 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389325336 + ... + 389384616.

It is an arithmetic number, because the mean of its divisors is an integer number (234398063900).

Almost surely, 223081352332256 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 23081352332256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33753321201600).

23081352332256 is an abundant number, since it is smaller than the sum of its proper divisors (44425290070944).

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

23081352332256 is a wasteful number, since it uses less digits than its factorization.

23081352332256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59642 (or 59631 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 23081352332256 in words is "twenty-three trillion, eighty-one billion, three hundred fifty-two million, three hundred thirty-two thousand, two hundred fifty-six".