Search a number
-
+
164555110016 = 2711196151133
BaseRepresentation
bin1001100101000000111…
…1111011011010000000
3120201202010110201020022
42121100033323122000
510144002102010031
6203332351033012
714613554233223
oct2312017733200
9521663421208
10164555110016
11638730847a0
1227a8520b768
1312695b9a6ab
147d708875ba
15443181497b
hex26503fb680

164555110016 has 64 divisors (see below), whose sum is σ = 376449400800. Its totient is φ = 70861040640.

The previous prime is 164555110009. The next prime is 164555110039. The reversal of 164555110016 is 610011555461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3048815 + ... + 3102318.

Almost surely, 2164555110016 is an apocalyptic number.

164555110016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164555110016 is an abundant number, since it is smaller than the sum of its proper divisors (211894290784).

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

164555110016 is a wasteful number, since it uses less digits than its factorization.

164555110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151177 (or 6151165 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 35.

Adding to 164555110016 its reverse (610011555461), we get a palindrome (774566665477).

The spelling of 164555110016 in words is "one hundred sixty-four billion, five hundred fifty-five million, one hundred ten thousand, sixteen".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 836 1216 1408 1672 2432 3344 6688 13376 26752 6151133 12302266 24604532 49209064 67662463 98418128 116871527 135324926 196836256 233743054 270649852 393672512 467486108 541299704 787345024 934972216 1082599408 1285586797 1869944432 2165198816 2571173594 3739888864 4330397632 5142347188 7479777728 8660795264 10284694376 14959555456 20569388752 41138777504 82277555008 164555110016