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146557969 = 1721015021
BaseRepresentation
bin10001011110001…
…00110000010001
3101012202220201221
420233010300101
5300004323334
622313125041
73426502465
oct1057046021
9335686657
10146557969
1175801198
12410b9781
13244952bc
14156704a5
15ccee8b4
hex8bc4c11

146557969 has 12 divisors (see below), whose sum is σ = 157258908. Its totient is φ = 136544000.

The previous prime is 146557951. The next prime is 146558017. The reversal of 146557969 is 969755641.

It can be written as a sum of positive squares in 6 ways, for example, as 79121025 + 67436944 = 8895^2 + 8212^2 .

It is not a de Polignac number, because 146557969 - 25 = 146557937 is a prime.

It is a super-2 number, since 2×1465579692 = 42958476554809922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146557919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26679 + ... + 31699.

It is an arithmetic number, because the mean of its divisors is an integer number (13104909).

Almost surely, 2146557969 is an apocalyptic number.

It is an amenable number.

146557969 is a deficient number, since it is larger than the sum of its proper divisors (10700939).

146557969 is a wasteful number, since it uses less digits than its factorization.

146557969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156 (or 5139 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 52.

The square root of 146557969 is about 12106.1128773855. The cubic root of 146557969 is about 527.2336806193.

The spelling of 146557969 in words is "one hundred forty-six million, five hundred fifty-seven thousand, nine hundred sixty-nine".

Divisors: 1 17 101 289 1717 5021 29189 85357 507121 1451069 8621057 146557969