Search a number
-
+
253660095360 = 273257217291823
BaseRepresentation
bin1110110000111101010…
…0011110001110000000
3220020202000012222001200
43230033110132032000
513123443441022420
6312310240101200
724216635143500
oct3541724361600
9806660188050
10253660095360
1198638569051
12411b2304800
131abc64504a9
14c3c4965a00
1568e92ebb90
hex3b0f51e380

253660095360 has 1152 divisors, whose sum is σ = 1116678700800. Its totient is φ = 52658307072.

The previous prime is 253660095319. The next prime is 253660095383. The reversal of 253660095360 is 63590066352.

253660095360 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 600 + 9 + 5 + 36 + 0 = 666.

253660095360 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 139143409 + ... + 139145231.

It is an arithmetic number, because the mean of its divisors is an integer number (969339150).

Almost surely, 2253660095360 is an apocalyptic number.

253660095360 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 253660095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558339350400).

253660095360 is an abundant number, since it is smaller than the sum of its proper divisors (863018605440).

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

253660095360 is a wasteful number, since it uses less digits than its factorization.

253660095360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

It can be divided in two parts, 25366009 and 5360, that added together give a square (25371369 = 50372).

The spelling of 253660095360 in words is "two hundred fifty-three billion, six hundred sixty million, ninety-five thousand, three hundred sixty".