Search a number
-
+
152454544000 = 2753114611879
BaseRepresentation
bin1000110111111011111…
…1111011101010000000
3112120111211010021020121
42031332333323222000
54444211330402000
6154011525550024
714004652146133
oct2157677735200
9476454107217
10152454544000
1159723685410
1225668875314
13114b7c54865
14754376c21a
153e7432bb1a
hex237effba80

152454544000 has 256 divisors, whose sum is σ = 414615801600. Its totient is φ = 55288320000.

The previous prime is 152454543971. The next prime is 152454544019. The reversal of 152454544000 is 445454251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81135061 + ... + 81136939.

It is an arithmetic number, because the mean of its divisors is an integer number (1619592975).

Almost surely, 2152454544000 is an apocalyptic number.

152454544000 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 152454544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207307900800).

152454544000 is an abundant number, since it is smaller than the sum of its proper divisors (262161257600).

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

152454544000 is a wasteful number, since it uses less digits than its factorization.

152454544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 34.

Adding to 152454544000 its reverse (445454251), we get a palindrome (152899998251).

The spelling of 152454544000 in words is "one hundred fifty-two billion, four hundred fifty-four million, five hundred forty-four thousand".