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52144081632 = 2532237871993
BaseRepresentation
bin110000100100000001…
…111000101011100000
311222121000021210200200
4300210001320223200
51323242341103012
635542112345200
73524115244416
oct604401705340
9158530253620
1052144081632
1120128a7a345
12a132b45200
134bc0023196
1427493b32b6
151552c183dc
hexc24078ae0

52144081632 has 72 divisors (see below), whose sum is σ = 154731914064. Its totient is φ = 16625647104.

The previous prime is 52144081621. The next prime is 52144081637. The reversal of 52144081632 is 23618044125.

It is a happy number.

52144081632 is a `hidden beast` number, since 5 + 2 + 14 + 4 + 0 + 8 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52144081637) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3929373 + ... + 3942620.

It is an arithmetic number, because the mean of its divisors is an integer number (2149054362).

Almost surely, 252144081632 is an apocalyptic number.

It is an amenable number.

52144081632 is an abundant number, since it is smaller than the sum of its proper divisors (102587832432).

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

52144081632 is a wasteful number, since it uses less digits than its factorization.

52144081632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7872032 (or 7872021 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 52144081632 in words is "fifty-two billion, one hundred forty-four million, eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 7871993 15743986 23615979 31487972 47231958 62975944 70847937 94463916 125951888 141695874 181055839 188927832 251903776 283391748 362111678 377855664 543167517 566783496 724223356 755711328 1086335034 1133566992 1448446712 1629502551 2172670068 2267133984 2896893424 3259005102 4345340136 5793786848 6518010204 8690680272 13036020408 17381360544 26072040816 52144081632