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4780616164 = 2218121912
BaseRepresentation
bin1000111001111001…
…00110100111100100
3110100011120110111221
410130330212213210
534242314204124
62110213110124
7226316365312
oct43474464744
913304513457
104780616164
112033595755
12b15028344
135b257877c
14334cb50b2
151cea6dce4
hex11cf269e4

4780616164 has 27 divisors (see below), whose sum is σ = 8456830473. Its totient is φ = 2364656400.

The previous prime is 4780616161. The next prime is 4780616179. The reversal of 4780616164 is 4616160874.

The square root of 4780616164 is 69142.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52678564 + 4727937600 = 7258^2 + 68760^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4780616164.

It is not an unprimeable number, because it can be changed into a prime (4780616161) 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 8 ways as a sum of consecutive naturals, for example, 25029309 + ... + 25029499.

Almost surely, 24780616164 is an apocalyptic number.

4780616164 is the 69142-nd square number.

It is an amenable number.

4780616164 is a deficient number, since it is larger than the sum of its proper divisors (3676214309).

4780616164 is an equidigital number, since it uses as much as digits as its factorization.

4780616164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The cubic root of 4780616164 is about 1684.5915782008.

It can be divided in two parts, 4780 and 616164, that added together give a square (620944 = 7882).

The spelling of 4780616164 in words is "four billion, seven hundred eighty million, six hundred sixteen thousand, one hundred sixty-four".

Divisors: 1 2 4 181 191 362 382 724 764 32761 34571 36481 65522 69142 72962 131044 138284 145924 6257351 6603061 12514702 13206122 25029404 26412244 1195154041 2390308082 4780616164