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164544512 = 21411283
BaseRepresentation
bin10011100111011…
…00000000000000
3102110121201122012
421303230000000
5314110411022
624154432052
74035414416
oct1163540000
9373551565
10164544512
1184976800
1247132628
1328122122
1417bd32b6
15e6a3de2
hex9cec000

164544512 has 90 divisors (see below), whose sum is σ = 366072924. Its totient is φ = 73891840.

The previous prime is 164544491. The next prime is 164544517. The reversal of 164544512 is 215445461.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (19200) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (164544517) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1982423 + ... + 1982505.

Almost surely, 2164544512 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 164544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183036462).

164544512 is an abundant number, since it is smaller than the sum of its proper divisors (201528412).

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

164544512 is an frugal number, since it uses more digits than its factorization.

164544512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 96 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 164544512 is about 12827.4904794352. The cubic root of 164544512 is about 547.9754904058.

Adding to 164544512 its reverse (215445461), we get a palindrome (379989973).

The spelling of 164544512 in words is "one hundred sixty-four million, five hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 121 128 166 176 242 256 332 352 484 512 664 704 913 968 1024 1328 1408 1826 1936 2048 2656 2816 3652 3872 4096 5312 5632 7304 7744 8192 10043 10624 11264 14608 15488 16384 20086 21248 22528 29216 30976 40172 42496 45056 58432 61952 80344 84992 90112 116864 123904 160688 169984 180224 233728 247808 321376 339968 467456 495616 642752 679936 934912 991232 1285504 1359872 1869824 1982464 2571008 3739648 5142016 7479296 10284032 14958592 20568064 41136128 82272256 164544512