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4106375007 = 371747244733
BaseRepresentation
bin1111010011000010…
…0100111101011111
3101121011212110112020
43310300210331133
531402213000012
61515245511223
7203521416540
oct36460447537
911534773466
104106375007
111817a3a359
12967272513
13505987ac7
142ad5244c7
15190788a8c
hexf4c24f5f

4106375007 has 32 divisors (see below), whose sum is σ = 6766405632. Its totient is φ = 2161473024.

The previous prime is 4106374963. The next prime is 4106375047. The reversal of 4106375007 is 7005736014.

It is not a de Polignac number, because 4106375007 - 219 = 4105850719 is a prime.

It is a super-2 number, since 2×41063750072 = 33724631396228500098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106375047) 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 31 ways as a sum of consecutive naturals, for example, 105588 + ... + 139145.

It is an arithmetic number, because the mean of its divisors is an integer number (211450176).

Almost surely, 24106375007 is an apocalyptic number.

4106375007 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

4106375007 is a deficient number, since it is larger than the sum of its proper divisors (2660030625).

4106375007 is a wasteful number, since it uses less digits than its factorization.

4106375007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244807.

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 4106375007 is about 64081.0034799706. The cubic root of 4106375007 is about 1601.3497733695.

The spelling of 4106375007 in words is "four billion, one hundred six million, three hundred seventy-five thousand, seven".

Divisors: 1 3 7 17 21 47 51 119 141 329 357 799 987 2397 5593 16779 244733 734199 1713131 4160461 5139393 11502451 12481383 29123227 34507353 80517157 87369681 195541667 241551471 586625001 1368791669 4106375007