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5353792920 = 23325722231361
BaseRepresentation
bin1001111110001110…
…00110010110011000
3111211010002212012200
410333013012112120
541431032333140
62243130210200
7246446326500
oct47707062630
914733085180
105353792920
1122a8092953
121054b83960
13674242308
1438b078a00
1521503e030
hex13f1c6598

5353792920 has 288 divisors, whose sum is σ = 20346318720. Its totient is φ = 1217341440.

The previous prime is 5353792909. The next prime is 5353792937. The reversal of 5353792920 is 292973535.

5353792920 is a `hidden beast` number, since 5 + 3 + 537 + 92 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3933040 + ... + 3934400.

It is an arithmetic number, because the mean of its divisors is an integer number (70646940).

Almost surely, 25353792920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5353792920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10173159360).

5353792920 is an abundant number, since it is smaller than the sum of its proper divisors (14992525800).

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

5353792920 is a wasteful number, since it uses less digits than its factorization.

5353792920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 5353792920 is about 73169.6174651747. The cubic root of 5353792920 is about 1749.3922156043.

The spelling of 5353792920 in words is "five billion, three hundred fifty-three million, seven hundred ninety-two thousand, nine hundred twenty".