Search a number
-
+
6477975029813 = 72373657153939
BaseRepresentation
bin101111001000100010101…
…1001101000100000110101
3211221021210012212212000012
41132101011121220200311
51322113343101423223
621435535102430005
71236006155142500
oct136210531504065
924837705785005
106477975029813
112078326029851
12887584892305
1337cb41425121
1418576dc12137
15b37911a8c78
hex5e445668835

6477975029813 has 24 divisors (see below), whose sum is σ = 7557096270240. Its totient is φ = 5536718439840.

The previous prime is 6477975029809. The next prime is 6477975029831. The reversal of 6477975029813 is 3189205797746.

It is a happy number.

It is not a de Polignac number, because 6477975029813 - 22 = 6477975029809 is a prime.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6477975029413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120071198 + ... + 120125136.

It is an arithmetic number, because the mean of its divisors is an integer number (314879011260).

It is a 1-persistent number, because it is pandigital, but 2⋅6477975029813 = 12955950059626 is not.

Almost surely, 26477975029813 is an apocalyptic number.

It is an amenable number.

6477975029813 is a deficient number, since it is larger than the sum of its proper divisors (1079121240427).

6477975029813 is a wasteful number, since it uses less digits than its factorization.

6477975029813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60897 (or 60890 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 68.

The spelling of 6477975029813 in words is "six trillion, four hundred seventy-seven billion, nine hundred seventy-five million, twenty-nine thousand, eight hundred thirteen".

Divisors: 1 7 49 373 2611 6571 18277 45997 53939 321979 377573 2450983 2643011 17156881 20119247 120098167 140834729 354433169 985843103 2481032183 17367225281 132203572037 925425004259 6477975029813