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6442412104037 = 713221093202123
BaseRepresentation
bin101110110111111110110…
…1011110101100101100101
3211210212222202222001002002
41131233331223311211211
51321023024444312122
621411334145455045
71233306656231240
oct135577553654545
924725882861062
106442412104037
1120642367522a8
128806ba941485
133796946b6790
14183b58a50257
15b28aded0992
hex5dbfdaf5965

6442412104037 has 16 divisors (see below), whose sum is σ = 7929483703680. Its totient is φ = 5097060948672.

The previous prime is 6442412104033. The next prime is 6442412104091. The reversal of 6442412104037 is 7304012142446.

It is not a de Polignac number, because 6442412104037 - 22 = 6442412104033 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6442412104033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410858 + ... + 3612980.

It is an arithmetic number, because the mean of its divisors is an integer number (495592731480).

Almost surely, 26442412104037 is an apocalyptic number.

It is an amenable number.

6442412104037 is a deficient number, since it is larger than the sum of its proper divisors (1487071599643).

6442412104037 is a wasteful number, since it uses less digits than its factorization.

6442412104037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224252.

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 6442412104037 in words is "six trillion, four hundred forty-two billion, four hundred twelve million, one hundred four thousand, thirty-seven".

Divisors: 1 7 13 91 22109 154763 287417 2011919 3202123 22414861 41627599 291393193 70795737407 495570161849 920344586291 6442412104037