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4781257164 = 2232831600153
BaseRepresentation
bin1000111001111110…
…00011000111001100
3110100012210000210200
410130333003013030
534243000212124
62110234533500
7226325005155
oct43477030714
913305700720
104781257164
112033993302
12b15297290
135b2741468
1433500092c
151ceb48bc9
hex11cfc31cc

4781257164 has 36 divisors (see below), whose sum is σ = 12231577176. Its totient is φ = 1574549568.

The previous prime is 4781257141. The next prime is 4781257183. The reversal of 4781257164 is 4617521874.

4781257164 is a `hidden beast` number, since 4 + 7 + 8 + 12 + 571 + 64 = 666.

4781257164 is nontrivially palindromic in base 11.

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

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 11 ways as a sum of consecutive naturals, for example, 797089 + ... + 803064.

Almost surely, 24781257164 is an apocalyptic number.

It is an amenable number.

4781257164 is an abundant number, since it is smaller than the sum of its proper divisors (7450320012).

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

4781257164 is a wasteful number, since it uses less digits than its factorization.

4781257164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600246 (or 1600241 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 4781257164 is about 69146.6352326706. The cubic root of 4781257164 is about 1684.6668666090. Note that the first 3 decimals are identical.

It can be divided in two parts, 47812 and 57164, that added together give a 4-th power (104976 = 184).

The spelling of 4781257164 in words is "four billion, seven hundred eighty-one million, two hundred fifty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 1600153 3200306 4800459 6400612 9600918 14401377 19201836 28802754 57605508 132812699 265625398 398438097 531250796 796876194 1195314291 1593752388 2390628582 4781257164