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164827199552 = 2667223172373
BaseRepresentation
bin1001100110000001110…
…1110111100001000000
3120202110002110021220112
42121200131313201000
510200031230341202
6203415350530452
714623400036201
oct2314035674100
9522402407815
10164827199552
11639a2725684
1227b40366a28
131270a375612
147d98a735a8
15444a65db52
hex2660777840

164827199552 has 56 divisors (see below), whose sum is σ = 333451297536. Its totient is φ = 80819025408.

The previous prime is 164827199543. The next prime is 164827199569. The reversal of 164827199552 is 255991728461.

164827199552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 164827199491 and 164827199500.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870038 + ... + 1042410.

It is an arithmetic number, because the mean of its divisors is an integer number (5954487456).

Almost surely, 2164827199552 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 164827199552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166725648768).

164827199552 is an abundant number, since it is smaller than the sum of its proper divisors (168624097984).

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

164827199552 is a wasteful number, since it uses less digits than its factorization.

164827199552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172675 (or 172665 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 59.

The spelling of 164827199552 in words is "one hundred sixty-four billion, eight hundred twenty-seven million, one hundred ninety-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 67 134 223 268 446 536 892 1072 1784 2144 3568 4288 7136 14272 14941 29882 59764 119528 172373 239056 344746 478112 689492 956224 1378984 2757968 5515936 11031872 11548991 23097982 38439179 46195964 76878358 92391928 153756716 184783856 307513432 369567712 615026864 739135424 1230053728 2460107456 2575424993 5150849986 10301699972 20603399944 41206799888 82413599776 164827199552