Search a number
-
+
23559422978025 = 325211223212792
BaseRepresentation
bin1010101101101010110110…
…00010011010011111101001
310002102020222200202112202100
411112311123002122133221
511041444144240244100
6122035014405324013
74651053315105264
oct526653302323751
9102366880675670
1023559422978025
11756354a095100
122785b83106609
13101b84aca9a5c
145b63d4345cdb
152acc7be81400
hex156d5b09a7e9

23559422978025 has 243 divisors, whose sum is σ = 48524670808887. Its totient is φ = 10917566510400.

The previous prime is 23559422978017. The next prime is 23559422978131. The reversal of 23559422978025 is 52087922495532.

It is a happy number.

The square root of 23559422978025 is 4853805.

It is a perfect power (a square), and thus also a powerful number.

23559422978025 is a `hidden beast` number, since 2 + 3 + 559 + 4 + 2 + 2 + 9 + 78 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8481392272089 + 15078030705936 = 2912283^2 + 3883044^2 .

It is not a de Polignac number, because 23559422978025 - 23 = 23559422978017 is a prime.

It is a super-2 number, since 2×235594229780252 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 18420189336 + ... + 18420190614.

Almost surely, 223559422978025 is an apocalyptic number.

23559422978025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23559422978025 is the 4853805-th square number.

23559422978025 is the 2426903-rd centered octagonal number.

It is an amenable number.

23559422978025 is an abundant number, since it is smaller than the sum of its proper divisors (24965247830862).

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

23559422978025 is a wasteful number, since it uses less digits than its factorization.

23559422978025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 23559422978025 in words is "twenty-three trillion, five hundred fifty-nine billion, four hundred twenty-two million, nine hundred seventy-eight thousand, twenty-five".