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52046433466146 = 2327273808350161
BaseRepresentation
bin10111101010110000000010…
…01011011011011100100010
320211021120221102202121001100
423311120001023123130202
523310212043431404041
6302405445040415230
713651142066033100
oct1365300113333442
9224246842677040
1052046433466146
111564684a931289
125a06b45317516
132306c5ab637b2
14cbd0bcc6ac70
15603ca93316b6
hex2f56012db722

52046433466146 has 72 divisors (see below), whose sum is σ = 132975218349324. Its totient is φ = 14666705303040.

The previous prime is 52046433466127. The next prime is 52046433466163. The reversal of 52046433466146 is 64166433464025.

52046433466146 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 6 + 4 + 33 + 466 + 146 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49578427028025 + 2468006438121 = 7041195^2 + 1570989^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 52046433466092 and 52046433466101.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 404110695 + ... + 404239466.

Almost surely, 252046433466146 is an apocalyptic number.

52046433466146 is an abundant number, since it is smaller than the sum of its proper divisors (80928784883178).

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

52046433466146 is a wasteful number, since it uses less digits than its factorization.

52046433466146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808350256 (or 808350246 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 52046433466146 in words is "fifty-two trillion, forty-six billion, four hundred thirty-three million, four hundred sixty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 73 98 126 146 147 219 294 438 441 511 657 882 1022 1314 1533 3066 3577 4599 7154 9198 10731 21462 32193 64386 808350161 1616700322 2425050483 4850100966 5658451127 7275151449 11316902254 14550302898 16975353381 33950706762 39609157889 50926060143 59009561753 79218315778 101852120286 118019123506 118827473667 177028685259 237654947334 354057370518 356482421001 413066932271 531086055777 712964842002 826133864542 1062172111554 1239200796813 2478401593626 2891468525897 3717602390439 5782937051794 7435204780878 8674405577691 17348811155382 26023216733073 52046433466146