Search a number
-
+
23934572928 = 27337361331
BaseRepresentation
bin10110010010100111…
…001001100110000000
32021210001010021122000
4112102213021212000
5343004222313203
614555000544000
71505056341000
oct262247114600
967701107560
1023934572928
11a172495992
12477b782000
13234589c0b6
141230a88000
159513ba4a3
hex5929c9980

23934572928 has 512 divisors, whose sum is σ = 83982720000. Its totient is φ = 6706022400.

The previous prime is 23934572881. The next prime is 23934572933. The reversal of 23934572928 is 82927543932.

23934572928 is a `hidden beast` number, since 2 + 3 + 9 + 345 + 7 + 292 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72309723 + ... + 72310053.

It is an arithmetic number, because the mean of its divisors is an integer number (164028750).

Almost surely, 223934572928 is an apocalyptic number.

23934572928 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 23934572928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41991360000).

23934572928 is an abundant number, since it is smaller than the sum of its proper divisors (60048147072).

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

23934572928 is an equidigital number, since it uses as much as digits as its factorization.

23934572928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 404 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

It can be divided in two parts, 2393 and 4572928, that added together give a square (4575321 = 21392).

The spelling of 23934572928 in words is "twenty-three billion, nine hundred thirty-four million, five hundred seventy-two thousand, nine hundred twenty-eight".