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153256320000 = 210335472181
BaseRepresentation
bin1000111010111011001…
…0011101110000000000
3112122120200210201011000
42032232302131300000
510002332104220000
6154223250452000
714033556140400
oct2165662356000
9478520721130
10153256320000
1159aa5219603
1225851294000
13115b50a9c24
1475bc03a800
153ebe905000
hex23aec9dc00

153256320000 has 1320 divisors, whose sum is σ = 663399456720. Its totient is φ = 34836480000.

The previous prime is 153256319971. The next prime is 153256320001. The reversal of 153256320000 is 23652351.

153256320000 is a `hidden beast` number, since 1 + 5 + 3 + 25 + 632 + 0 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153256320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 846719910 + ... + 846720090.

It is an arithmetic number, because the mean of its divisors is an integer number (502575346).

Almost surely, 2153256320000 is an apocalyptic number.

153256320000 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 153256320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331699728360).

153256320000 is an abundant number, since it is smaller than the sum of its proper divisors (510143136720).

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

153256320000 is an equidigital number, since it uses as much as digits as its factorization.

153256320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 153256320000 its reverse (23652351), we get a palindrome (153279972351).

The spelling of 153256320000 in words is "one hundred fifty-three billion, two hundred fifty-six million, three hundred twenty thousand".