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2854217650249 = 72172141972
BaseRepresentation
bin101001100010001100101…
…000010001000001001001
3101002212020100001121001001
4221202030220101001021
5333230414204301444
610023113125455001
7413132113505200
oct51421450210111
911085210047031
102854217650249
11a005154aa699
123a11bb871461
131791c7cc91a4
149c205754237
154e3a107d8d4
hex2988ca11049

2854217650249 has 27 divisors (see below), whose sum is σ = 3527256053493. Its totient is φ = 2302399951488.

The previous prime is 2854217650223. The next prime is 2854217650253. The reversal of 2854217650249 is 9420567124582.

The square root of 2854217650249 is 1689443.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1968849566649 + 885368083600 = 1403157^2 + 940940^2 .

It is not a de Polignac number, because 2854217650249 - 27 = 2854217650121 is a prime.

It is a super-4 number, since 4×28542176502494 (a number of 51 digits) contains 4444 as substring.

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 2854217650249.

It is not an unprimeable number, because it can be changed into a prime (2854217650259) 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, 201036619 + ... + 201050815.

Almost surely, 22854217650249 is an apocalyptic number.

2854217650249 is the 1689443-rd square number.

2854217650249 is the 844722-nd centered octagonal number.

It is an amenable number.

2854217650249 is a deficient number, since it is larger than the sum of its proper divisors (673038403244).

2854217650249 is an frugal number, since it uses more digits than its factorization.

2854217650249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28442 (or 14221 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 55.

The spelling of 2854217650249 in words is "two trillion, eight hundred fifty-four billion, two hundred seventeen million, six hundred fifty thousand, two hundred forty-nine".

Divisors: 1 7 17 49 119 289 833 2023 14161 14197 99379 241349 695653 1689443 4102933 11826101 28720531 201043717 201554809 1410883663 3426431753 9876185641 23985022271 58249339801 167895155897 407745378607 2854217650249