Search a number
-
+
23480737280 = 295731121317
BaseRepresentation
bin10101110111100011…
…111001111000000000
32020121102011001011022
4111313203321320000
5341042032043110
614441545405012
71460605655000
oct256743717000
966542131138
1023480737280
119a5a29a500
124673799768
1322a285b5b0
1411ca6ac000
15926620755
hex5778f9e00

23480737280 has 960 divisors, whose sum is σ = 82288483200. Its totient is φ = 6358302720.

The previous prime is 23480737183. The next prime is 23480737303. The reversal of 23480737280 is 8273708432.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1381219832 + ... + 1381219848.

It is an arithmetic number, because the mean of its divisors is an integer number (85717170).

Almost surely, 223480737280 is an apocalyptic number.

23480737280 is a gapful number since it is divisible by the number (20) 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 23480737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41144241600).

23480737280 is an abundant number, since it is smaller than the sum of its proper divisors (58807745920).

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

23480737280 is a wasteful number, since it uses less digits than its factorization.

23480737280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The spelling of 23480737280 in words is "twenty-three billion, four hundred eighty million, seven hundred thirty-seven thousand, two hundred eighty".