Search a number
-
+
4986406656 = 2836711347
BaseRepresentation
bin1001010010011011…
…01000011100000000
3110212111210201000000
410221031220130000
540203010003111
62142444000000
7234365520510
oct45115503400
913774721000
104986406656
112129773140
12b71b30000
136160ac5aa
14354363840
151e2b6dc56
hex129368700

4986406656 has 504 divisors, whose sum is σ = 18659136384. Its totient is φ = 1291438080.

The previous prime is 4986406651. The next prime is 4986406661. The reversal of 4986406656 is 6566046894.

4986406656 is a `hidden beast` number, since 498 + 6 + 40 + 66 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (4986406651) and next prime (4986406661).

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×49864066562 = 49728502678002204672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4986406651) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14369875 + ... + 14370221.

It is an arithmetic number, because the mean of its divisors is an integer number (37022096).

Almost surely, 24986406656 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 4986406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9329568192).

4986406656 is an abundant number, since it is smaller than the sum of its proper divisors (13672729728).

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

4986406656 is an equidigital number, since it uses as much as digits as its factorization.

4986406656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The square root of 4986406656 is about 70614.4932432429. The cubic root of 4986406656 is about 1708.4249208328.

The spelling of 4986406656 in words is "four billion, nine hundred eighty-six million, four hundred six thousand, six hundred fifty-six".