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145744465601 = 7210927287861
BaseRepresentation
bin1000011110111100001…
…1000000111011000001
3111221012011220222010102
42013233003000323001
54341441040344401
6150542025412145
713346453342300
oct2075703007301
9457164828112
10145744465601
115689aa51179
12242b563a055
1310988a2b277
1470a8520437
153bd01d056b
hex21ef0c0ec1

145744465601 has 12 divisors (see below), whose sum is σ = 171094894740. Its totient is φ = 123777732960.

The previous prime is 145744465579. The next prime is 145744465609. The reversal of 145744465601 is 106564447541.

It can be written as a sum of positive squares in 2 ways, for example, as 61630545025 + 84113920576 = 248255^2 + 290024^2 .

It is not a de Polignac number, because 145744465601 - 214 = 145744449217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145744465609) 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 11 ways as a sum of consecutive naturals, for example, 13638590 + ... + 13649271.

It is an arithmetic number, because the mean of its divisors is an integer number (14257907895).

Almost surely, 2145744465601 is an apocalyptic number.

It is an amenable number.

145744465601 is a deficient number, since it is larger than the sum of its proper divisors (25350429139).

145744465601 is a wasteful number, since it uses less digits than its factorization.

145744465601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27287984 (or 27287977 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 145744465601 in words is "one hundred forty-five billion, seven hundred forty-four million, four hundred sixty-five thousand, six hundred one".

Divisors: 1 7 49 109 763 5341 27287861 191015027 1337105189 2974376849 20820637943 145744465601