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146565699921 = 3237234492
BaseRepresentation
bin1000100001111111111…
…1110001100101010001
3112000022102012222211100
42020133333301211101
54400131304344141
6151155323335013
713406014615404
oct2103777614521
9460272188740
10146565699921
1157181575723
12244a4681469
1310a89c07334
147145615d3b
153c2c34e0b6
hex221fff1951

146565699921 has 27 divisors (see below), whose sum is σ = 217645541841. Its totient is φ = 95042078784.

The previous prime is 146565699901. The next prime is 146565699949. The reversal of 146565699921 is 129996565641.

The square root of 146565699921 is 382839.

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

146565699921 is a `hidden beast` number, since 1 + 4 + 6 + 565 + 69 + 9 + 9 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9544313025 + 137021386896 = 97695^2 + 370164^2 .

It is not a de Polignac number, because 146565699921 - 219 = 146565175633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146565699901) 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, 42493405 + ... + 42496853.

Almost surely, 2146565699921 is an apocalyptic number.

146565699921 is the 382839-th square number.

146565699921 is the 191420-th centered octagonal number.

It is an amenable number.

146565699921 is a deficient number, since it is larger than the sum of its proper divisors (71079841920).

146565699921 is an frugal number, since it uses more digits than its factorization.

146565699921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6978 (or 3489 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 63.

The spelling of 146565699921 in words is "one hundred forty-six billion, five hundred sixty-five million, six hundred ninety-nine thousand, nine hundred twenty-one".

Divisors: 1 3 9 37 111 333 1369 3449 4107 10347 12321 31041 127613 382839 1148517 4721681 11895601 14165043 35686803 42495129 107060409 440137237 1320411711 3961235133 16285077769 48855233307 146565699921