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1553394481920 = 2833571633067
BaseRepresentation
bin10110100110101101100…
…001101011101100000000
312111111120201202212011000
4112212231201223230000
5200422322441410140
63145341454452000
7220141364144031
oct26465541535400
95444521685130
101553394481920
115498777629a6
12211084804000
13b363b4c95c8
1455282b2ca88
152a619c56a30
hex169ad86bb00

1553394481920 has 288 divisors, whose sum is σ = 5590041085440. Its totient is φ = 408403537920.

The previous prime is 1553394481901. The next prime is 1553394481921. The reversal of 1553394481920 is 291844933551.

1553394481920 is a `hidden beast` number, since 1 + 5 + 5 + 3 + 3 + 9 + 448 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1553394481921) by changing a digit.

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, 2137227 + ... + 2770293.

It is an arithmetic number, because the mean of its divisors is an integer number (19409864880).

Almost surely, 21553394481920 is an apocalyptic number.

1553394481920 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 1553394481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795020542720).

1553394481920 is an abundant number, since it is smaller than the sum of its proper divisors (4036646603520).

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

1553394481920 is an equidigital number, since it uses as much as digits as its factorization.

1553394481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633168 (or 633148 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1553394481920 in words is "one trillion, five hundred fifty-three billion, three hundred ninety-four million, four hundred eighty-one thousand, nine hundred twenty".