Search a number
-
+
23071241088 = 273279912887
BaseRepresentation
bin10101011111001001…
…110011001110000000
32012112212121110222200
4111133021303032000
5334222214203323
614333200433200
71444504212360
oct253711631600
965485543880
1023071241088
11986a1289a5
12457a618800
132238a7385c
14118c1549a0
159006d3443
hex55f273380

23071241088 has 192 divisors, whose sum is σ = 75977041920. Its totient is φ = 6582850560.

The previous prime is 23071241057. The next prime is 23071241099. The reversal of 23071241088 is 88014217032.

23071241088 is a `hidden beast` number, since 230 + 7 + 1 + 2 + 410 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7989981 + ... + 7992867.

It is an arithmetic number, because the mean of its divisors is an integer number (395713760).

Almost surely, 223071241088 is an apocalyptic number.

23071241088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23071241088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37988520960).

23071241088 is an abundant number, since it is smaller than the sum of its proper divisors (52905800832).

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

23071241088 is a wasteful number, since it uses less digits than its factorization.

23071241088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 23071241088 in words is "twenty-three billion, seventy-one million, two hundred forty-one thousand, eighty-eight".