Search a number
-
+
153241159680 = 2113257298191
BaseRepresentation
bin1000111010110111100…
…0101000100000000000
3112122112122021111002200
42032231320220200000
510002314214102210
6154221545513200
714033313236250
oct2165570504000
9478478244080
10153241159680
1159a97704414
12258481a2800
13115b1bcc61b
1475ba011960
153ebd40d0c0
hex23ade28800

153241159680 has 576 divisors, whose sum is σ = 627985612800. Its totient is φ = 33814609920.

The previous prime is 153241159661. The next prime is 153241159711. The reversal of 153241159680 is 86951142351.

It is a happy number.

153241159680 is a `hidden beast` number, since 1 + 53 + 2 + 4 + 1 + 1 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18704385 + ... + 18712575.

It is an arithmetic number, because the mean of its divisors is an integer number (1090252800).

Almost surely, 2153241159680 is an apocalyptic number.

153241159680 is a gapful number since it is divisible by the number (10) 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 153241159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313992806400).

153241159680 is an abundant number, since it is smaller than the sum of its proper divisors (474744453120).

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

153241159680 is a wasteful number, since it uses less digits than its factorization.

153241159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8260 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 153241159680 in words is "one hundred fifty-three billion, two hundred forty-one million, one hundred fifty-nine thousand, six hundred eighty".