Search a number
-
+
23449039488 = 2733717233767
BaseRepresentation
bin10101110101101010…
…111111001010000000
32020112012111121222000
4111311222333022000
5341010423230423
614434454144000
71460042355420
oct256552771200
966465447860
1023449039488
119a4340a486
124665052000
1322991108c4
1411c63ba480
1592395d843
hex575abf280

23449039488 has 1024 divisors, whose sum is σ = 91089100800. Its totient is φ = 5780865024.

The previous prime is 23449039483. The next prime is 23449039489. The reversal of 23449039488 is 88493094432.

23449039488 is a `hidden beast` number, since 2 + 3 + 44 + 90 + 39 + 488 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23449039483) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 349985631 + ... + 349985697.

It is an arithmetic number, because the mean of its divisors is an integer number (88954200).

Almost surely, 223449039488 is an apocalyptic number.

23449039488 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 23449039488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45544550400).

23449039488 is an abundant number, since it is smaller than the sum of its proper divisors (67640061312).

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

23449039488 is a wasteful number, since it uses less digits than its factorization.

23449039488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 23449039488 in words is "twenty-three billion, four hundred forty-nine million, thirty-nine thousand, four hundred eighty-eight".