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4057131693 = 319677105137
BaseRepresentation
bin1111000111010010…
…1110101010101101
3101110202012122101210
43301310232222231
531302111203233
61510330225033
7202353023166
oct36164565255
911422178353
104057131693
1117a21660aa
12952885179
134c8705c54
142a6b8676d
1518b2ad163
hexf1d2eaad

4057131693 has 16 divisors (see below), whose sum is σ = 5702685120. Its totient is φ = 2558589696.

The previous prime is 4057131677. The next prime is 4057131703. The reversal of 4057131693 is 3961317504.

It is not a de Polignac number, because 4057131693 - 24 = 4057131677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057131623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13980 + ... + 91157.

It is an arithmetic number, because the mean of its divisors is an integer number (356417820).

Almost surely, 24057131693 is an apocalyptic number.

It is an amenable number.

4057131693 is a deficient number, since it is larger than the sum of its proper divisors (1645553427).

4057131693 is a wasteful number, since it uses less digits than its factorization.

4057131693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105836.

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 4057131693 is about 63695.6175337048. The cubic root of 4057131693 is about 1594.9229291612.

The spelling of 4057131693 in words is "four billion, fifty-seven million, one hundred thirty-one thousand, six hundred ninety-three".

Divisors: 1 3 19 57 677 2031 12863 38589 105137 315411 1997603 5992809 71177749 213533247 1352377231 4057131693