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23155265952 = 2532731321973
BaseRepresentation
bin10101100100001010…
…010101000110100000
32012202201201101102200
4111210022111012200
5334410222002302
614345401413200
71446544341000
oct254412250640
965681641380
1023155265952
1199025a9035
1245a279a200
1322502b2c00
141199388000
15907c7e81c
hex5642951a0

23155265952 has 864 divisors, whose sum is σ = 88727184000. Its totient is φ = 5706215424.

The previous prime is 23155265911. The next prime is 23155265957. The reversal of 23155265952 is 25956255132.

It is a happy number.

23155265952 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 52 + 6 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23155265898 and 23155265907.

It is not an unprimeable number, because it can be changed into a prime (23155265957) 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 143 ways as a sum of consecutive naturals, for example, 317195388 + ... + 317195460.

It is an arithmetic number, because the mean of its divisors is an integer number (102693500).

Almost surely, 223155265952 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 23155265952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44363592000).

23155265952 is an abundant number, since it is smaller than the sum of its proper divisors (65571918048).

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

23155265952 is a wasteful number, since it uses less digits than its factorization.

23155265952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 117 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The spelling of 23155265952 in words is "twenty-three billion, one hundred fifty-five million, two hundred sixty-five thousand, nine hundred fifty-two".