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146237271974977 = 414663376485809
BaseRepresentation
bin100001010000000010000100…
…101001100010010001000001
3201011210010221220212021200111
4201100002010221202101001
5123131422413111144402
61235004250355551321
742542202632230321
oct4120020451422101
9634703856767614
10146237271974977
11426609736a52a7
121449991a5bb541
13637a166bc5411
142817cc931d281
1511d8e78b619d7
hex850084a62441

146237271974977 has 8 divisors (see below), whose sum is σ = 149807249068680. Its totient is φ = 142667447946240.

The previous prime is 146237271974953. The next prime is 146237271974993. The reversal of 146237271974977 is 779479172732641.

It can be written as a sum of positive squares in 4 ways, for example, as 7360851921921 + 138876420053056 = 2713089^2 + 11784584^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 146237271974977 - 235 = 146202912236609 is a prime.

It is a super-2 number, since 2×1462372719749772 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146237271974947) 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 7 ways as a sum of consecutive naturals, for example, 36330952 + ... + 40154857.

It is an arithmetic number, because the mean of its divisors is an integer number (18725906133585).

Almost surely, 2146237271974977 is an apocalyptic number.

It is an amenable number.

146237271974977 is a deficient number, since it is larger than the sum of its proper divisors (3569977093703).

146237271974977 is an equidigital number, since it uses as much as digits as its factorization.

146237271974977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76532483.

The product of its digits is 1568294784, while the sum is 76.

The spelling of 146237271974977 in words is "one hundred forty-six trillion, two hundred thirty-seven billion, two hundred seventy-one million, nine hundred seventy-four thousand, nine hundred seventy-seven".

Divisors: 1 41 46633 1911953 76485809 3135918169 3566762731097 146237271974977