Search a number
-
+
5106511008 = 253218197961
BaseRepresentation
bin1001100000101111…
…10010110010100000
3111011212210122012100
410300113302302200
540424231323013
62202414130400
7240354425124
oct46027626240
914155718170
105106511008
112190546335
12ba61b0a00
13634c41b61
143662a9584
151ed495473
hex1305f2ca0

5106511008 has 72 divisors (see below), whose sum is σ = 14602019796. Its totient is φ = 1692748800.

The previous prime is 5106511001. The next prime is 5106511021. The reversal of 5106511008 is 8001156015.

5106511008 is a `hidden beast` number, since 5 + 1 + 0 + 651 + 1 + 0 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4000815504 + 1105695504 = 63252^2 + 33252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5106511001) 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, 3148 + ... + 101108.

Almost surely, 25106511008 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 5106511008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7301009898).

5106511008 is an abundant number, since it is smaller than the sum of its proper divisors (9495508788).

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

5106511008 is a wasteful number, since it uses less digits than its factorization.

5106511008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98158 (or 98147 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 5106511008 is about 71459.8559192502. The cubic root of 5106511008 is about 1722.0328191651.

The spelling of 5106511008 in words is "five billion, one hundred six million, five hundred eleven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 181 288 362 543 724 1086 1448 1629 2172 2896 3258 4344 5792 6516 8688 13032 17376 26064 52128 97961 195922 293883 391844 587766 783688 881649 1175532 1567376 1763298 2351064 3134752 3526596 4702128 7053192 9404256 14106384 17730941 28212768 35461882 53192823 70923764 106385646 141847528 159578469 212771292 283695056 319156938 425542584 567390112 638313876 851085168 1276627752 1702170336 2553255504 5106511008