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23064122146032 = 24321114560683173
BaseRepresentation
bin1010011111010000010001…
…10011101011110011110000
310000122220112022212022011100
411033220020303223303300
511010340310232133112
6121015302245444400
74600220306360112
oct517501063536360
9100586468768140
1023064122146032
117392491742130
122705b93a10700
13cb3c2558b186
1459a4492753b2
1529ee3db7e2dc
hex14fa08cebcf0

23064122146032 has 60 divisors (see below), whose sum is σ = 70415463829464. Its totient is φ = 6989127922560.

The previous prime is 23064122146007. The next prime is 23064122146057.

23064122146032 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 41 + 2 + 2 + 1 + 4 + 603 + 2 = 666.

23064122146032 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23064122146007) and next prime (23064122146057).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 7280340003 + ... + 7280343170.

Almost surely, 223064122146032 is an apocalyptic number.

23064122146032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23064122146032 is an abundant number, since it is smaller than the sum of its proper divisors (47351341683432).

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

23064122146032 is a wasteful number, since it uses less digits than its factorization.

23064122146032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14560683198 (or 14560683189 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 23064122146032 in words is "twenty-three trillion, sixty-four billion, one hundred twenty-two million, one hundred forty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 14560683173 29121366346 43682049519 58242732692 87364099038 116485465384 131046148557 160167514903 174728198076 232970930768 262092297114 320335029806 349456396152 480502544709 524184594228 640670059612 698912792304 961005089418 1048369188456 1281340119224 1441507634127 1922010178836 2096738376912 2562680238448 2883015268254 3844020357672 5766030536508 7688040715344 11532061073016 23064122146032