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23025917952 = 2133543269
BaseRepresentation
bin10101011100011100…
…111010000000000000
32012102201022211100000
4111130130322000000
5334124113333302
614324501200000
71443414034062
oct253434720000
965381284300
1023025917952
119846591a64
124567400000
13222c56512b
141186117732
158eb72e31c
hex55c73a000

23025917952 has 336 divisors, whose sum is σ = 70845334560. Its totient is φ = 7468941312.

The previous prime is 23025917951. The next prime is 23025917983. The reversal of 23025917952 is 25971952032.

23025917952 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 591 + 7 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23025917898 and 23025917907.

It is not an unprimeable number, because it can be changed into a prime (23025917951) 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 23 ways as a sum of consecutive naturals, for example, 85598074 + ... + 85598342.

It is an arithmetic number, because the mean of its divisors is an integer number (210849210).

Almost surely, 223025917952 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 23025917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35422667280).

23025917952 is an abundant number, since it is smaller than the sum of its proper divisors (47819416608).

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

23025917952 is an frugal number, since it uses more digits than its factorization.

23025917952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 23025917952 in words is "twenty-three billion, twenty-five million, nine hundred seventeen thousand, nine hundred fifty-two".