Search a number
-
+
165053253060 = 22325916962517
BaseRepresentation
bin1001100110110111110…
…0001100010111000100
3120210000211211000000200
42121231330030113010
510201012113044220
6203454024010500
714632113334263
oct2315574142704
9523024730020
10165053253060
1163aa9292a63
1227ba4000a30
13127451524a7
147dbaab85da
154460412890
hex266df0c5c4

165053253060 has 36 divisors (see below), whose sum is σ = 500661534828. Its totient is φ = 44014200768.

The previous prime is 165053253049. The next prime is 165053253073. The reversal of 165053253060 is 60352350561.

165053253060 is a `hidden beast` number, since 1 + 65 + 0 + 5 + 3 + 2 + 530 + 60 = 666.

165053253060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 65586185604 + 99467067456 = 256098^2 + 315384^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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, 458481079 + ... + 458481438.

Almost surely, 2165053253060 is an apocalyptic number.

165053253060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165053253060 is an abundant number, since it is smaller than the sum of its proper divisors (335608281768).

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

165053253060 is a wasteful number, since it uses less digits than its factorization.

165053253060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916962532 (or 916962527 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 165053253060 in words is "one hundred sixty-five billion, fifty-three million, two hundred fifty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 916962517 1833925034 2750887551 3667850068 4584812585 5501775102 8252662653 9169625170 11003550204 13754437755 16505325306 18339250340 27508875510 33010650612 41263313265 55017751020 82526626530 165053253060