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23934355956 = 223672237283
BaseRepresentation
bin10110010010100110…
…010100100111110100
32021210000201021000000
4112102212110213310
5343004143342311
614554552151300
71505054445300
oct262246244764
967700637000
1023934355956
11a172357975
12477b698530
132345824404
141230a2cd00
15951376056
hex5929949f4

23934355956 has 252 divisors, whose sum is σ = 76238481312. Its totient is φ = 6540168096.

The previous prime is 23934355919. The next prime is 23934355957. The reversal of 23934355956 is 65955343932.

It is a happy number.

23934355956 is a `hidden beast` number, since 2 + 3 + 9 + 3 + 43 + 5 + 595 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23934355957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3282691 + ... + 3289973.

It is an arithmetic number, because the mean of its divisors is an integer number (302533656).

Almost surely, 223934355956 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 23934355956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38119240656).

23934355956 is an abundant number, since it is smaller than the sum of its proper divisors (52304125356).

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

23934355956 is a wasteful number, since it uses less digits than its factorization.

23934355956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7342 (or 7318 counting only the distinct ones).

The product of its digits is 13122000, while the sum is 54.

The spelling of 23934355956 in words is "twenty-three billion, nine hundred thirty-four million, three hundred fifty-five thousand, nine hundred fifty-six".