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52105051332 = 22332916636351
BaseRepresentation
bin110000100001101100…
…111111110011000100
311222111021211212012000
4300201230333303010
51323202343120312
635534200025300
73523132425435
oct604154776304
9158437755160
1052105051332
1120108a412a4
12a121a62230
134bb4c08b29
14274413348c
15154e5a8adc
hexc21b3fcc4

52105051332 has 48 divisors (see below), whose sum is σ = 139745356800. Its totient is φ = 16769440800.

The previous prime is 52105051331. The next prime is 52105051333. The reversal of 52105051332 is 23315050125.

It is a happy number.

52105051332 is a `hidden beast` number, since 5 + 21 + 0 + 505 + 133 + 2 = 666.

52105051332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52105051331) and next prime (52105051333).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 52105051296 and 52105051305.

It is not an unprimeable number, because it can be changed into a prime (52105051331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8315044 + ... + 8321307.

It is an arithmetic number, because the mean of its divisors is an integer number (2911361600).

Almost surely, 252105051332 is an apocalyptic number.

It is an amenable number.

52105051332 is an abundant number, since it is smaller than the sum of its proper divisors (87640305468).

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

52105051332 is a wasteful number, since it uses less digits than its factorization.

52105051332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16636393 (or 16636385 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 52105051332 in words is "fifty-two billion, one hundred five million, fifty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 16636351 33272702 49909053 66545404 99818106 149727159 199636212 299454318 449181477 482454179 598908636 898362954 964908358 1447362537 1796725908 1929816716 2894725074 4342087611 5789450148 8684175222 13026262833 17368350444 26052525666 52105051332