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23503465440 = 253557213273
BaseRepresentation
bin10101111000111010…
…100110101111100000
32020122222220202100000
4111320322212233200
5341113341343230
614444120500000
71461303105600
oct257072465740
966588822300
1023503465440
119a71103504
12467b31a600
1322a7488700
1411cd706c00
1592860eb60
hex578ea6be0

23503465440 has 1296 divisors, whose sum is σ = 106206439248. Its totient is φ = 4891041792.

The previous prime is 23503465429. The next prime is 23503465487. The reversal of 23503465440 is 4456430532.

23503465440 is a `hidden beast` number, since 23 + 50 + 3 + 46 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a junction number, because it is equal to n+sod(n) for n = 23503465395 and 23503465404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 321965244 + ... + 321965316.

It is an arithmetic number, because the mean of its divisors is an integer number (81949413).

Almost surely, 223503465440 is an apocalyptic number.

23503465440 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 23503465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53103219624).

23503465440 is an abundant number, since it is smaller than the sum of its proper divisors (82702973808).

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

23503465440 is a wasteful number, since it uses less digits than its factorization.

23503465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 23503465440 its reverse (4456430532), we get a palindrome (27959895972).

The spelling of 23503465440 in words is "twenty-three billion, five hundred three million, four hundred sixty-five thousand, four hundred forty".