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145794912561 = 321272772
BaseRepresentation
bin1000011111001000001…
…1011101000100110001
3111221022200211221100100
42013302003131010301
54342041444200221
6150551030543013
713350635211054
oct2076203350461
9457280757310
10145794912561
1156916477781
122430a507a69
1310996311c3c
1470b10d2a9b
153bd4847926
hex21f20dd131

145794912561 has 9 divisors (see below), whose sum is σ = 210594306091. Its totient is φ = 97195844712.

The previous prime is 145794912553. The next prime is 145794912563. The reversal of 145794912561 is 165219497541.

The square root of 145794912561 is 381831.

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

145794912561 is a `hidden beast` number, since 1 + 4 + 5 + 79 + 4 + 9 + 1 + 2 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121783550625 + 24011361936 = 348975^2 + 154956^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 145794912561 - 23 = 145794912553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145794912498 and 145794912507.

It is not an unprimeable number, because it can be changed into a prime (145794912563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1081855 + ... + 1209131.

Almost surely, 2145794912561 is an apocalyptic number.

145794912561 is the 381831-st square number.

145794912561 is the 190916-th centered octagonal number.

It is an amenable number.

145794912561 is a deficient number, since it is larger than the sum of its proper divisors (64799393530).

145794912561 is an frugal number, since it uses more digits than its factorization.

145794912561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254560 (or 127280 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 145794912561 in words is "one hundred forty-five billion, seven hundred ninety-four million, nine hundred twelve thousand, five hundred sixty-one".

Divisors: 1 3 9 127277 381831 1145493 16199434729 48598304187 145794912561