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90141383520 = 2533526977569
BaseRepresentation
bin101001111110011011…
…0000101101101100000
322121200002220201212000
41103330312011231200
52434102143233040
6105224350404000
76340534055256
oct1237466055540
9277602821760
1090141383520
1135257508681
1215578200600
1386671c5276
1445119c25d6
1525289a8130
hex14fcd85b60

90141383520 has 192 divisors, whose sum is σ = 316671768000. Its totient is φ = 23948034048.

The previous prime is 90141383483. The next prime is 90141383551. The reversal of 90141383520 is 2538314109.

90141383520 is a `hidden beast` number, since 90 + 1 + 41 + 3 + 8 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 1123296 + ... + 1200864.

It is an arithmetic number, because the mean of its divisors is an integer number (1649332125).

Almost surely, 290141383520 is an apocalyptic number.

90141383520 is a gapful number since it is divisible by the number (90) 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 90141383520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158335884000).

90141383520 is an abundant number, since it is smaller than the sum of its proper divisors (226530384480).

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

90141383520 is a wasteful number, since it uses less digits than its factorization.

90141383520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77862 (or 77848 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 90141383520 its reverse (2538314109), we get a palindrome (92679697629).

The spelling of 90141383520 in words is "ninety billion, one hundred forty-one million, three hundred eighty-three thousand, five hundred twenty".