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164515450032 = 2433419288361
BaseRepresentation
bin1001100100110111100…
…0101000110010110000
3120201122100211202222000
42121031320220302300
510143411423400112
6203324413014000
714612563152363
oct2311570506260
9521570752860
10164515450032
116385275664a
1227a73a84300
131268a8c284b
147d694c20da
15442d0cd7dc
hex264de28cb0

164515450032 has 80 divisors (see below), whose sum is σ = 483737892960. Its totient is φ = 53500953600.

The previous prime is 164515450009. The next prime is 164515450039. The reversal of 164515450032 is 230054515461.

164515450032 is a `hidden beast` number, since 1 + 64 + 51 + 545 + 0 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (164515450039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4626469 + ... + 4661892.

It is an arithmetic number, because the mean of its divisors is an integer number (6046723662).

Almost surely, 2164515450032 is an apocalyptic number.

164515450032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164515450032 is an abundant number, since it is smaller than the sum of its proper divisors (319222442928).

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

164515450032 is a wasteful number, since it uses less digits than its factorization.

164515450032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9288419 (or 9288407 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 164515450032 its reverse (230054515461), we get a palindrome (394569965493).

The spelling of 164515450032 in words is "one hundred sixty-four billion, five hundred fifteen million, four hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1968 2214 2952 4428 5904 8856 17712 9288361 18576722 27865083 37153444 55730166 74306888 83595249 111460332 148613776 167190498 222920664 250785747 334380996 380822801 445841328 501571494 668761992 761645602 1003142988 1142468403 1337523984 1523291204 2006285976 2284936806 3046582408 3427405209 4012571952 4569873612 6093164816 6854810418 9139747224 10282215627 13709620836 18279494448 20564431254 27419241672 41128862508 54838483344 82257725016 164515450032