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35750868241 = 112171892
BaseRepresentation
bin100001010010111010…
…101111010100010001
310102021112120021112011
4201102322233110101
51041204210240431
624231305102521
72403640236364
oct412272572421
9112245507464
1035750868241
1114186484500
126b18a87a41
1334a996370a
141a321260db
15de394ecb1
hex852eaf511

35750868241 has 9 divisors (see below), whose sum is σ = 39298695163. Its totient is φ = 32498898520.

The previous prime is 35750868193. The next prime is 35750868289. The reversal of 35750868241 is 14286805753.

It is a happy number.

The square root of 35750868241 is 189079.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (35750868193) and next prime (35750868289).

It can be written as a sum of positive squares in only one way, i.e., 33386963841 + 2363904400 = 182721^2 + 48620^2 .

It is not a de Polignac number, because 35750868241 - 213 = 35750860049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35750868541) 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 8 ways as a sum of consecutive naturals, for example, 2071275 + ... + 2088463.

Almost surely, 235750868241 is an apocalyptic number.

35750868241 is the 189079-th square number.

35750868241 is the 94540-th centered octagonal number.

It is an amenable number.

35750868241 is a deficient number, since it is larger than the sum of its proper divisors (3547826922).

35750868241 is an frugal number, since it uses more digits than its factorization.

35750868241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34400 (or 17200 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 35750868241 by its sum of digits (49), we get a square (1751792543809 = 13235532).

The spelling of 35750868241 in words is "thirty-five billion, seven hundred fifty million, eight hundred sixty-eight thousand, two hundred forty-one".

Divisors: 1 11 121 17189 189079 2079869 295461721 3250078931 35750868241