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164616652452 = 223714913152497
BaseRepresentation
bin1001100101001111101…
…0101100011010100100
3120201220102021101120210
42121103322230122210
510144113330334302
6203342430055420
714615232313230
oct2312372543244
9521812241523
10164616652452
11638a489950a
1227aa194a570
13126a5867735
147d78b075c0
154436e1e66c
hex2653eac6a4

164616652452 has 48 divisors (see below), whose sum is σ = 441923932800. Its totient is φ = 46717665792.

The previous prime is 164616652451. The next prime is 164616652463. The reversal of 164616652452 is 254256616461.

It is a happy number.

164616652452 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1646166524522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164616652451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6563733 + ... + 6588764.

It is an arithmetic number, because the mean of its divisors is an integer number (9206748600).

Almost surely, 2164616652452 is an apocalyptic number.

164616652452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164616652452 is an abundant number, since it is smaller than the sum of its proper divisors (277307280348).

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

164616652452 is a wasteful number, since it uses less digits than its factorization.

164616652452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13152660 (or 13152658 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 164616652452 in words is "one hundred sixty-four billion, six hundred sixteen million, six hundred fifty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 298 447 596 894 1043 1788 2086 3129 4172 6258 12516 13152497 26304994 39457491 52609988 78914982 92067479 157829964 184134958 276202437 368269916 552404874 1104809748 1959722053 3919444106 5879166159 7838888212 11758332318 13718054371 23516664636 27436108742 41154163113 54872217484 82308326226 164616652452