Search a number
-
+
153231317568 = 2633731408643
BaseRepresentation
bin1000111010110101001…
…1000101101001000000
3112122111221202110021000
42032231103011221000
510002304204130233
6154220554532000
714033133465120
oct2165523055100
9478457673230
10153231317568
1159a920a193a
1225844a37000
13115acb648a4
1475b89acc80
153ebc616d13
hex23ad4c5a40

153231317568 has 224 divisors, whose sum is σ = 531433349120. Its totient is φ = 42368002560.

The previous prime is 153231317513. The next prime is 153231317581. The reversal of 153231317568 is 865713132351.

153231317568 is a `hidden beast` number, since 1 + 5 + 323 + 1 + 317 + 5 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170655 + ... + 579297.

Almost surely, 2153231317568 is an apocalyptic number.

153231317568 is a gapful number since it is divisible by the number (18) 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 153231317568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265716674560).

153231317568 is an abundant number, since it is smaller than the sum of its proper divisors (378202031552).

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

153231317568 is a wasteful number, since it uses less digits than its factorization.

153231317568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408702 (or 408686 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 153231317568 in words is "one hundred fifty-three billion, two hundred thirty-one million, three hundred seventeen thousand, five hundred sixty-eight".