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3716901125 = 5372192412
BaseRepresentation
bin1101110110001011…
…0110100100000101
3100121001000010210122
43131202312210011
530103011314000
61412454031325
7161052065300
oct33542664405
910531003718
103716901125
111638103913
12878948545
134730906a2
142738ddb37
1516b4a4085
hexdd8b6905

3716901125 has 108 divisors (see below), whose sum is σ = 5837268996. Its totient is φ = 2355696000.

The previous prime is 3716901109. The next prime is 3716901173. The reversal of 3716901125 is 5211096173.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3716901125 is digitally balanced in base 2, 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 6 ways, for example, as 3150127876 + 566773249 = 56126^2 + 23807^2 .

It is not a de Polignac number, because 3716901125 - 24 = 3716901109 is a prime.

It is a super-3 number, since 3×37169011253 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 90656105 + ... + 90656145.

It is an arithmetic number, because the mean of its divisors is an integer number (54048787).

Almost surely, 23716901125 is an apocalyptic number.

3716901125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3716901125 is a deficient number, since it is larger than the sum of its proper divisors (2120367871).

3716901125 is an equidigital number, since it uses as much as digits as its factorization.

3716901125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 3716901125 is about 60966.3934065318. The cubic root of 3716901125 is about 1549.0318095083.

Adding to 3716901125 its reverse (5211096173), we get a palindrome (8927997298).

The spelling of 3716901125 in words is "three billion, seven hundred sixteen million, nine hundred one thousand, one hundred twenty-five".

Divisors: 1 5 7 19 25 35 41 49 95 125 133 175 205 245 287 361 475 665 779 875 931 1025 1225 1435 1681 1805 2009 2375 2527 3325 3895 4655 5125 5453 6125 7175 8405 9025 10045 11767 12635 14801 16625 17689 19475 23275 27265 31939 35875 38171 42025 45125 50225 58835 63175 74005 82369 88445 97375 103607 116375 136325 159695 190855 210125 223573 251125 294175 315875 370025 411845 442225 518035 606841 681625 725249 798475 954275 1117865 1470875 1565011 1850125 2059225 2211125 2590175 3034205 3626245 3992375 4247887 4771375 5589325 7825055 10296125 12950875 15171025 18131225 21239435 27946625 29735209 39125275 75855125 90656125 106197175 148676045 195626375 530985875 743380225 3716901125