Search a number
-
+
164730925872 = 24323230935407
BaseRepresentation
bin1001100101101010111…
…0100111001100110000
3120202012101022002020200
42121122232213030300
510144332104111442
6203402031235200
714621120524002
oct2313256471460
9522171262220
10164730925872
1163953349857
1227b14078b00
13126c3437c46
147d89d72372
154441e9334c
hex265aba7330

164730925872 has 60 divisors (see below), whose sum is σ = 461045089440. Its totient is φ = 54907058304.

The previous prime is 164730925867. The next prime is 164730925913. The reversal of 164730925872 is 278529037461.

It is a happy number.

164730925872 is a `hidden beast` number, since 1 + 6 + 473 + 0 + 92 + 5 + 87 + 2 = 666.

164730925872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 4634793 + ... + 4670199.

It is an arithmetic number, because the mean of its divisors is an integer number (7684084824).

It is a 1-persistent number, because it is pandigital, but 2⋅164730925872 = 329461851744 is not.

Almost surely, 2164730925872 is an apocalyptic number.

164730925872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164730925872 is an abundant number, since it is smaller than the sum of its proper divisors (296314163568).

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

164730925872 is a wasteful number, since it uses less digits than its factorization.

164730925872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67730 (or 67721 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 164730925872 in words is "one hundred sixty-four billion, seven hundred thirty million, nine hundred twenty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 32309 35407 64618 70814 96927 106221 129236 141628 193854 212442 258472 283256 290781 318663 387708 424884 516944 566512 581562 637326 775416 849768 1163124 1274652 1550832 1699536 2326248 2549304 4652496 5098608 1143964763 2287929526 3431894289 4575859052 6863788578 9151718104 10295682867 13727577156 18303436208 20591365734 27455154312 41182731468 54910308624 82365462936 164730925872