Search a number
-
+
7014499928064 = 2113533894159
BaseRepresentation
bin110011000010011000011…
…0001101100100000000000
3220211120122120010122100000
41212010300301230200000
51404411143440144224
622530230005200000
71322531563423026
oct146046061544000
926746576118300
107014499928064
112264918383972
12953559a00000
133bb606695915
141a3709c86716
15c26e36840c9
hex66130c6c800

7014499928064 has 288 divisors, whose sum is σ = 21020755392000. Its totient is φ = 2336914685952.

The previous prime is 7014499928057. The next prime is 7014499928083. The reversal of 7014499928064 is 4608299944107.

7014499928064 is a `hidden beast` number, since 7 + 0 + 1 + 4 + 499 + 9 + 2 + 80 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×70144999280642 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7014499927992 and 7014499928010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1686581217 + ... + 1686585375.

It is an arithmetic number, because the mean of its divisors is an integer number (72988734000).

Almost surely, 27014499928064 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 7014499928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10510377696000).

7014499928064 is an abundant number, since it is smaller than the sum of its proper divisors (14006255463936).

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

7014499928064 is an equidigital number, since it uses as much as digits as its factorization.

7014499928064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7585 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 7014499928064 in words is "seven trillion, fourteen billion, four hundred ninety-nine million, nine hundred twenty-eight thousand, sixty-four".