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214545902481 = 32103214992
BaseRepresentation
bin1100011111001111101…
…1101010101110010001
3202111210001222002111100
43013303323222232101
512003342222334411
6242321103135013
721333435036651
oct3076373525621
9674701862440
10214545902481
1182a96629009
12356b6ba4469
1317301a65471
14a553c9c361
1558aa48b456
hex31f3eeab91

214545902481 has 27 divisors (see below), whose sum is σ = 313146485769. Its totient is φ = 141547464072.

The previous prime is 214545902471. The next prime is 214545902497. The reversal of 214545902481 is 184209545412.

The square root of 214545902481 is 463191.

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

214545902481 is a `hidden beast` number, since 2 + 1 + 4 + 54 + 590 + 2 + 4 + 8 + 1 = 666.

It is not a de Polignac number, because 214545902481 - 219 = 214545378193 is a prime.

It is a super-2 number, since 2×2145459024812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214545902471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 143125270 + ... + 143126768.

Almost surely, 2214545902481 is an apocalyptic number.

214545902481 is the 463191-st square number.

214545902481 is the 231596-th centered octagonal number.

It is an amenable number.

214545902481 is a deficient number, since it is larger than the sum of its proper divisors (98600583288).

214545902481 is an frugal number, since it uses more digits than its factorization.

214545902481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 214545902481 in words is "two hundred fourteen billion, five hundred forty-five million, nine hundred two thousand, four hundred eighty-one".

Divisors: 1 3 9 103 309 927 1499 4497 10609 13491 31827 95481 154397 463191 1389573 2247001 6741003 15902891 20223009 47708673 143126019 231441103 694323309 2082969927 23838433609 71515300827 214545902481