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4575239718361 = 132137212012
BaseRepresentation
bin100001010010100000110…
…0010011100010111011001
3121012101111022201010101021
41002211001202130113121
51044430042331441421
613421500333322441
7651356463640114
oct102450142342731
917171438633337
104575239718361
1115043915aa094
1261a866636421
1327259baa2300
1411b62addb57b
157e02c208341
hex4294189c5d9

4575239718361 has 27 divisors (see below), whose sum is σ = 4994838951543. Its totient is φ = 4188980390400.

The previous prime is 4575239718359. The next prime is 4575239718377. The reversal of 4575239718361 is 1638179325754.

The square root of 4575239718361 is 2138981.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4268434508361 + 306805210000 = 2066019^2 + 553900^2 .

It is not a de Polignac number, because 4575239718361 - 21 = 4575239718359 is a prime.

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 4575239718361.

It is not an unprimeable number, because it can be changed into a prime (4575239718661) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3809524561 + ... + 3809525761.

Almost surely, 24575239718361 is an apocalyptic number.

4575239718361 is the 2138981-st square number.

4575239718361 is the 1069491-st centered octagonal number.

It is an amenable number.

4575239718361 is a deficient number, since it is larger than the sum of its proper divisors (419599233182).

4575239718361 is an frugal number, since it uses more digits than its factorization.

4575239718361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 1351 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 61.

The spelling of 4575239718361 in words is "four trillion, five hundred seventy-five billion, two hundred thirty-nine million, seven hundred eighteen thousand, three hundred sixty-one".

Divisors: 1 13 137 169 1201 1781 15613 18769 23153 164537 202969 243997 1442401 2138981 3171961 18751213 22541569 27806753 197608937 243765769 293040397 2568916181 3809525161 27072424369 33395910353 351941516797 4575239718361