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52206643776 = 2637181317677
BaseRepresentation
bin110000100111110000…
…100010101001000000
311222202101000021211010
4300213300202221000
51323404400100101
635552225320520
73525505102350
oct604760425100
9158671007733
1052206643776
11201603201a1
12a14ba96140
134bccc893c1
14275381ab60
1515584752d6
hexc27c22a40

52206643776 has 224 divisors, whose sum is σ = 159471067392. Its totient is φ = 14765137920.

The previous prime is 52206643751. The next prime is 52206643793. The reversal of 52206643776 is 67734660225.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77114350 + ... + 77115026.

It is an arithmetic number, because the mean of its divisors is an integer number (711924408).

Almost surely, 252206643776 is an apocalyptic number.

52206643776 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 52206643776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79735533696).

52206643776 is an abundant number, since it is smaller than the sum of its proper divisors (107264423616).

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

52206643776 is a wasteful number, since it uses less digits than its factorization.

52206643776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 52206643776 in words is "fifty-two billion, two hundred six million, six hundred forty-three thousand, seven hundred seventy-six".