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161264668490 = 251761106114657
BaseRepresentation
bin1001011000110000011…
…1111000111101001010
3120102020210220222000122
42112030013320331022
510120232223342430
6202030045303242
714436201031232
oct2261407707512
9512223828018
10161264668490
1162434779332
1227307264b22
1312290283c83
147b3b878cc2
1542dc9edee5
hex258c1f8f4a

161264668490 has 64 divisors (see below), whose sum is σ = 312705798048. Its totient is φ = 59655782400.

The previous prime is 161264668483. The next prime is 161264668493. The reversal of 161264668490 is 94866462161.

161264668490 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 16 ways, for example, as 52581700249 + 108682968241 = 229307^2 + 329671^2 .

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (161264668493) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10995242 + ... + 11009898.

Almost surely, 2161264668490 is an apocalyptic number.

161264668490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

161264668490 is a deficient number, since it is larger than the sum of its proper divisors (151441129558).

161264668490 is a wasteful number, since it uses less digits than its factorization.

161264668490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15803.

The product of its (nonzero) digits is 2985984, while the sum is 53.

The spelling of 161264668490 in words is "one hundred sixty-one billion, two hundred sixty-four million, six hundred sixty-eight thousand, four hundred ninety".

Divisors: 1 2 5 10 17 34 61 85 122 170 305 610 1037 1061 2074 2122 5185 5305 10370 10610 14657 18037 29314 36074 64721 73285 90185 129442 146570 180370 249169 323605 498338 647210 894077 1100257 1245845 1788154 2200514 2491690 4470385 5501285 8940770 11002570 15199309 15551077 30398618 31102154 75996545 77755385 151993090 155510770 264368309 528736618 948615697 1321841545 1897231394 2643683090 4743078485 9486156970 16126466849 32252933698 80632334245 161264668490