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164416327448 = 2323241947579
BaseRepresentation
bin1001100100011111111…
…0100000111100011000
3120201101110022211100012
42121013332200330120
510143211034434243
6203310512301052
714610250503302
oct2310776407430
9521343284305
10164416327448
116380180435a
1227a46841788
13126731c8529
147d5a27c972
15442454dd18
hex2647fa0f18

164416327448 has 48 divisors (see below), whose sum is σ = 330127396200. Its totient is φ = 76715914880.

The previous prime is 164416327447. The next prime is 164416327519. The reversal of 164416327448 is 844723614461.

164416327448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1644163274483 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164416327396 and 164416327405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164416327447) 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 11 ways as a sum of consecutive naturals, for example, 300278 + ... + 647301.

Almost surely, 2164416327448 is an apocalyptic number.

It is an amenable number.

164416327448 is an abundant number, since it is smaller than the sum of its proper divisors (165711068752).

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

164416327448 is a wasteful number, since it uses less digits than its factorization.

164416327448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947672 (or 947645 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 50.

The spelling of 164416327448 in words is "one hundred sixty-four billion, four hundred sixteen million, three hundred twenty-seven thousand, four hundred forty-eight".

Divisors: 1 2 4 8 23 41 46 82 92 164 184 328 529 943 1058 1886 2116 3772 4232 7544 21689 43378 86756 173512 947579 1895158 3790316 7580632 21794317 38850739 43588634 77701478 87177268 155402956 174354536 310805912 501269291 893566997 1002538582 1787133994 2005077164 3574267988 4010154328 7148535976 20552040931 41104081862 82208163724 164416327448