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217189553296 = 2426324432
BaseRepresentation
bin1100101001000110000…
…0011001010010010000
3202202121022110110122111
43022101200121102100
512024301011201141
6243435301515104
721456105512512
oct3122140312220
9682538413574
10217189553296
1184122927aa1
1236114412a94
131763367c8a1
14a725023bb2
1559b25e0381
hex3291819490

217189553296 has 45 divisors (see below), whose sum is σ = 423366537139. Its totient is φ = 107937665888.

The previous prime is 217189553291. The next prime is 217189553327. The reversal of 217189553296 is 692355981712.

The square root of 217189553296 is 466036.

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

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 217189553296.

It is not an unprimeable number, because it can be changed into a prime (217189553291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 490269651 + ... + 490270093.

Almost surely, 2217189553296 is an apocalyptic number.

217189553296 is the 466036-th square number.

It is an amenable number.

217189553296 is a deficient number, since it is larger than the sum of its proper divisors (206176983843).

217189553296 is an frugal number, since it uses more digits than its factorization.

217189553296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 708 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 58.

The spelling of 217189553296 in words is "two hundred seventeen billion, one hundred eighty-nine million, five hundred fifty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 263 443 526 886 1052 1772 2104 3544 4208 7088 69169 116509 138338 196249 233018 276676 392498 466036 553352 784996 932072 1106704 1569992 1864144 3139984 30641867 51613487 61283734 103226974 122567468 206453948 245134936 412907896 490269872 825815792 13574347081 27148694162 54297388324 108594776648 217189553296