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164388552174 = 232711974312837
BaseRepresentation
bin1001100100011001010…
…0100011110111101110
3120201022112001200211100
42121012110203313232
510143131432132144
6203304041103530
714606462431650
oct2310624436756
9521275050740
10164388552174
1163798063390
1227a39487ba6
131266a522062
147d566cc6d0
154421db4269
hex2646523dee

164388552174 has 192 divisors, whose sum is σ = 449839982592. Its totient is φ = 42145228800.

The previous prime is 164388552157. The next prime is 164388552187. The reversal of 164388552174 is 471255883461.

It is a happy number.

164388552174 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 88 + 552 + 1 + 7 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 164388552174.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57943084 + ... + 57945920.

It is an arithmetic number, because the mean of its divisors is an integer number (2342916576).

Almost surely, 2164388552174 is an apocalyptic number.

164388552174 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164388552174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224919991296).

164388552174 is an abundant number, since it is smaller than the sum of its proper divisors (285451430418).

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

164388552174 is a wasteful number, since it uses less digits than its factorization.

164388552174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3388 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 164388552174 in words is "one hundred sixty-four billion, three hundred eighty-eight million, five hundred fifty-two thousand, one hundred seventy-four".