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52183136928 = 25313367113933
BaseRepresentation
bin110000100110010110…
…110111101010100000
311222200201210000111010
4300212112313222200
51323332340340203
635550025420520
73525101226306
oct604626675240
9158621700433
1052183136928
112014902514a
12a14403a740
134bc8148a20
14275065c276
151556380303
hexc265b7aa0

52183136928 has 96 divisors (see below), whose sum is σ = 147920967936. Its totient is φ = 16012459008.

The previous prime is 52183136927. The next prime is 52183136959. The reversal of 52183136928 is 82963138125.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (52183136927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 401050 + ... + 514982.

It is an arithmetic number, because the mean of its divisors is an integer number (1540843416).

Almost surely, 252183136928 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 52183136928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73960483968).

52183136928 is an abundant number, since it is smaller than the sum of its proper divisors (95737831008).

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

52183136928 is a wasteful number, since it uses less digits than its factorization.

52183136928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114326 (or 114318 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The spelling of 52183136928 in words is "fifty-two billion, one hundred eighty-three million, one hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 367 416 624 734 1101 1248 1468 2202 2936 4404 4771 5872 8808 9542 11744 14313 17616 19084 28626 35232 38168 57252 76336 113933 114504 152672 227866 229008 341799 455732 458016 683598 911464 1367196 1481129 1822928 2734392 2962258 3645856 4443387 5468784 5924516 8886774 10937568 11849032 17773548 23698064 35547096 41813411 47396128 71094192 83626822 125440233 142188384 167253644 250880466 334507288 501760932 543574343 669014576 1003521864 1087148686 1338029152 1630723029 2007043728 2174297372 3261446058 4014087456 4348594744 6522892116 8697189488 13045784232 17394378976 26091568464 52183136928