Search a number
-
+
5107112064 = 273243103099
BaseRepresentation
bin1001100000110100…
…00101100010000000
3111011220221011200200
410300122011202000
540424410041224
62202435045200
7240362510355
oct46032054200
914156834620
105107112064
11219091697a
12ba6440800
136350c2602
143663c462c
151ed5635c9
hex130685880

5107112064 has 96 divisors (see below), whose sum is σ = 15038166000. Its totient is φ = 1662764544.

The previous prime is 5107112063. The next prime is 5107112083. The reversal of 5107112064 is 4602117015.

It is a happy number.

5107112064 is a `hidden beast` number, since 510 + 71 + 1 + 20 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5107112063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2014 + ... + 101085.

Almost surely, 25107112064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5107112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7519083000).

5107112064 is an abundant number, since it is smaller than the sum of its proper divisors (9931053936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5107112064 is a wasteful number, since it uses less digits than its factorization.

5107112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103162 (or 103147 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5107112064 is about 71464.0613455463. The cubic root of 5107112064 is about 1722.1003798114.

Adding to 5107112064 its reverse (4602117015), we get a palindrome (9709229079).

The spelling of 5107112064 in words is "five billion, one hundred seven million, one hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 2064 2752 3096 4128 5504 6192 8256 12384 16512 24768 49536 103099 206198 309297 412396 618594 824792 927891 1237188 1649584 1855782 2474376 3299168 3711564 4433257 4948752 6598336 7423128 8866514 9897504 13196672 13299771 14846256 17733028 19795008 26599542 29692512 35466056 39590016 39899313 53199084 59385024 70932112 79798626 106398168 118770048 141864224 159597252 212796336 283728448 319194504 425592672 567456896 638389008 851185344 1276778016 1702370688 2553556032 5107112064