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23119952114688 = 2103111383634091
BaseRepresentation
bin1010100000111000010001…
…00010000111010000000000
310000212020122012210120022020
411100130020202013100000
511012244130220132223
6121101054231441440
74604234652312042
oct520341042072000
9100766565716266
1023119952114688
1174041312619a0
122714975226280
13cb92821032a0
1459d023d93a92
152a160a2721e3
hex150708887400

23119952114688 has 352 divisors, whose sum is σ = 73268732017152. Its totient is φ = 6389192294400.

The previous prime is 23119952114683. The next prime is 23119952114717. The reversal of 23119952114688 is 88641125991132.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×231199521146882 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23119952114683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36144523 + ... + 36778613.

Almost surely, 223119952114688 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 23119952114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36634366008576).

23119952114688 is an abundant number, since it is smaller than the sum of its proper divisors (50148779902464).

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

23119952114688 is a wasteful number, since it uses less digits than its factorization.

23119952114688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634221 (or 634203 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 60.

The spelling of 23119952114688 in words is "twenty-three trillion, one hundred nineteen billion, nine hundred fifty-two million, one hundred fourteen thousand, six hundred eighty-eight".