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153055008000 = 2831453
BaseRepresentation
bin1000111010001011001…
…0100001010100000000
3112122001200000000000000
42032202302201110000
510001424040224000
6154151300000000
714025563050056
oct2164262412400
9478050000000
10153055008000
1159a0161a954
12257b5990000
13115824836bb
14759d3d61d6
153eabddc000
hex23a2ca1500

153055008000 has 540 divisors, whose sum is σ = 571918695348. Its totient is φ = 40814668800.

The previous prime is 153055007993. The next prime is 153055008023. The reversal of 153055008000 is 800550351.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

153055008000 is a `hidden beast` number, since 1 + 5 + 30 + 550 + 0 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4897760256 + 148157247744 = 69984^2 + 384912^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30611001598 + ... + 30611001602.

Almost surely, 2153055008000 is an apocalyptic number.

153055008000 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 153055008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285959347674).

153055008000 is an abundant number, since it is smaller than the sum of its proper divisors (418863687348).

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

153055008000 is an frugal number, since it uses more digits than its factorization.

153055008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 153055008000 its reverse (800550351), we get a palindrome (153855558351).

The spelling of 153055008000 in words is "one hundred fifty-three billion, fifty-five million, eight thousand".