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147254085169 = 137228012
BaseRepresentation
bin1000100100100100000…
…1110000011000110001
3112002002101112120212021
42021021001300120301
54403034021211134
6151351514031441
713432044033442
oct2111101603061
9462071476767
10147254085169
11574a5101754
1224657118581
1310b6970ab99
1471acc092c9
153c6c9ca0b4
hex2249070631

147254085169 has 9 divisors (see below), whose sum is σ = 148389755521. Its totient is φ = 146127049600.

The previous prime is 147254085157. The next prime is 147254085191. The reversal of 147254085169 is 961580452741.

The square root of 147254085169 is 383737.

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 1415640625 + 145838444544 = 37625^2 + 381888^2 .

It is not a de Polignac number, because 147254085169 - 25 = 147254085137 is a prime.

It is a super-2 number, since 2×1472540851692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147254086169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52570569 + ... + 52573369.

Almost surely, 2147254085169 is an apocalyptic number.

147254085169 is the 383737-th square number.

147254085169 is the 191869-th centered octagonal number.

It is an amenable number.

147254085169 is a deficient number, since it is larger than the sum of its proper divisors (1135670352).

147254085169 is an frugal number, since it uses more digits than its factorization.

147254085169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 147254085169 in words is "one hundred forty-seven billion, two hundred fifty-four million, eighty-five thousand, one hundred sixty-nine".

Divisors: 1 137 2801 18769 383737 7845601 52571969 1074847337 147254085169