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22935910334064 = 24373131932332383
BaseRepresentation
bin1010011011100001011101…
…10010011011111001110000
310000012122121000201102100220
411031300232302123321300
511001240221021142224
6120440340045413040
74555031145063000
oct515605662337160
9100178530642326
1022935910334064
11734307949a152
1226a5171b6a180
13ca4b01ccc190
1459416548a000
1529b937cde279
hex14dc2ec9be70

22935910334064 has 640 divisors, whose sum is σ = 75150790041600. Its totient is φ = 5989347753984.

The previous prime is 22935910334047. The next prime is 22935910334111. The reversal of 22935910334064 is 46043301953922.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22935910333998 and 22935910334016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9624803817 + ... + 9624806199.

It is an arithmetic number, because the mean of its divisors is an integer number (117423109440).

Almost surely, 222935910334064 is an apocalyptic number.

22935910334064 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 22935910334064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37575395020800).

22935910334064 is an abundant number, since it is smaller than the sum of its proper divisors (52214879707536).

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

22935910334064 is a wasteful number, since it uses less digits than its factorization.

22935910334064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 51.

The spelling of 22935910334064 in words is "twenty-two trillion, nine hundred thirty-five billion, nine hundred ten million, three hundred thirty-four thousand, sixty-four".