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52356134376 = 233371329531733
BaseRepresentation
bin110000110000101010…
…110011010111101000
312000010210022012101000
4300300222303113220
51324211132300001
640015125355000
73532301541120
oct606052632750
9160123265330
1052356134376
1120227744747
12a191b68a60
134c24c3a490
142769611c80
151566653a86
hexc30ab35e8

52356134376 has 512 divisors, whose sum is σ = 188770176000. Its totient is φ = 13072969728.

The previous prime is 52356134351. The next prime is 52356134381. The reversal of 52356134376 is 67343165325.

It is a happy number.

52356134376 is a `hidden beast` number, since 5 + 23 + 5 + 613 + 4 + 3 + 7 + 6 = 666.

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 127 ways as a sum of consecutive naturals, for example, 30210406 + ... + 30212138.

It is an arithmetic number, because the mean of its divisors is an integer number (368691750).

Almost surely, 252356134376 is an apocalyptic number.

52356134376 is a gapful number since it is divisible by the number (56) 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 52356134376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94385088000).

52356134376 is an abundant number, since it is smaller than the sum of its proper divisors (136414041624).

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

52356134376 is a wasteful number, since it uses less digits than its factorization.

52356134376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1840 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The spelling of 52356134376 in words is "fifty-two billion, three hundred fifty-six million, one hundred thirty-four thousand, three hundred seventy-six".