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4433109157 = 293753137569
BaseRepresentation
bin1000010000011101…
…11110000010100101
3102102221200021112001
410020032332002211
533034333443112
62011520525301
7214566543331
oct41016760245
912387607461
104433109157
111975413584
12a38780831
13558586219
14300a967c1
151ae2c8c57
hex1083be0a5

4433109157 has 32 divisors (see below), whose sum is σ = 4842309600. Its totient is φ = 4049031168.

The previous prime is 4433109143. The next prime is 4433109211. The reversal of 4433109157 is 7519013344.

4433109157 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 139452481 + 4293656676 = 11809^2 + 65526^2 .

It is a cyclic number.

It is not a de Polignac number, because 4433109157 - 211 = 4433107109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4433109557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7790769 + ... + 7791337.

It is an arithmetic number, because the mean of its divisors is an integer number (151322175).

Almost surely, 24433109157 is an apocalyptic number.

It is an amenable number.

4433109157 is a deficient number, since it is larger than the sum of its proper divisors (409200443).

4433109157 is a wasteful number, since it uses less digits than its factorization.

4433109157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825.

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 4433109157 is about 66581.5977354103. The cubic root of 4433109157 is about 1642.7424317605.

The spelling of 4433109157 in words is "four billion, four hundred thirty-three million, one hundred nine thousand, one hundred fifty-seven".

Divisors: 1 29 37 53 137 569 1073 1537 1961 3973 5069 7261 16501 21053 30157 56869 77953 147001 210569 268657 610537 874553 1115809 2260637 2884261 4131509 7791053 32358461 83643569 119813761 152865833 4433109157