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145463671609 = 57726612
BaseRepresentation
bin1000011101111001001…
…1110111101100111001
3111220110121120011011221
42013132103313230321
54340402144442414
6150454115152041
713336503544024
oct2073623675471
9456417504157
10145463671609
11567664a5523
12242375a5621
13109427c6389
14707d10a1bb
153bb5717224
hex21de4f7b39

145463671609 has 9 divisors (see below), whose sum is σ = 145936993581. Its totient is φ = 144991883520.

The previous prime is 145463671579. The next prime is 145463671627. The reversal of 145463671609 is 906176364541.

The square root of 145463671609 is 381397.

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 105154275625 + 40309395984 = 324275^2 + 200772^2 .

It is not a de Polignac number, because 145463671609 - 27 = 145463671481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145463671709) 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 8 ways as a sum of consecutive naturals, for example, 220065739 + ... + 220066399.

It is an arithmetic number, because the mean of its divisors is an integer number (16215221509).

Almost surely, 2145463671609 is an apocalyptic number.

145463671609 is the 381397-th square number.

145463671609 is the 190699-th centered octagonal number.

It is an amenable number.

145463671609 is a deficient number, since it is larger than the sum of its proper divisors (473321972).

145463671609 is an frugal number, since it uses more digits than its factorization.

145463671609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 145463671609 in words is "one hundred forty-five billion, four hundred sixty-three million, six hundred seventy-one thousand, six hundred nine".

Divisors: 1 577 661 332929 381397 436921 220066069 252103417 145463671609