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153350141525 = 52721021122609
BaseRepresentation
bin1000111011010001100…
…0010111011001010101
3112122211020100100002022
42032310120113121111
510003030114012100
6154240441422525
714036105460500
oct2166430273125
9478736310068
10153350141525
115a043180059
122587879aa45
13115cb669419
1475ca6a0137
153ec7c88e85
hex23b4617655

153350141525 has 36 divisors (see below), whose sum is σ = 221418211140. Its totient is φ = 105050534400.

The previous prime is 153350141509. The next prime is 153350141599. The reversal of 153350141525 is 525141053351.

153350141525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7396344004 + 145953797521 = 86002^2 + 382039^2 .

It is not a de Polignac number, because 153350141525 - 24 = 153350141509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1189421 + ... + 1312029.

It is an arithmetic number, because the mean of its divisors is an integer number (6150505865).

Almost surely, 2153350141525 is an apocalyptic number.

It is an amenable number.

153350141525 is a deficient number, since it is larger than the sum of its proper divisors (68068069615).

153350141525 is a wasteful number, since it uses less digits than its factorization.

153350141525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123654 (or 123642 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

Adding to 153350141525 its reverse (525141053351), we get a palindrome (678491194876).

The spelling of 153350141525 in words is "one hundred fifty-three billion, three hundred fifty million, one hundred forty-one thousand, five hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1021 1225 5105 7147 25525 35735 50029 122609 178675 250145 613045 858263 1250725 3065225 4291315 6007841 21456575 30039205 125183789 150196025 625918945 876286523 3129594725 4381432615 6134005661 21907163075 30670028305 153350141525