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1331416328027 = 17299377288007
BaseRepresentation
bin10011010111111110100…
…110001110011101011011
311201021121200201021101212
4103113332212032131123
5133303220034444102
62455351052333335
7165122511026432
oct23277646163533
94637550637355
101331416328027
11473717897455
1219605477424b
1398723a36c56
1448625b56119
152497706bc52
hex135fe98e75b

1331416328027 has 16 divisors (see below), whose sum is σ = 1458507072960. Its totient is φ = 1209754226688.

The previous prime is 1331416328009. The next prime is 1331416328063. The reversal of 1331416328027 is 7208236141331.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1331416328027 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331416324027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4478858 + ... + 4766864.

It is an arithmetic number, because the mean of its divisors is an integer number (91156692060).

Almost surely, 21331416328027 is an apocalyptic number.

1331416328027 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1331416328027 is a deficient number, since it is larger than the sum of its proper divisors (127090744933).

1331416328027 is a wasteful number, since it uses less digits than its factorization.

1331416328027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297430.

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 1331416328027 in words is "one trillion, three hundred thirty-one billion, four hundred sixteen million, three hundred twenty-eight thousand, twenty-seven".

Divisors: 1 17 29 493 9377 159409 271933 288007 4622861 4896119 8352203 141987451 2700641639 45910907863 78318607531 1331416328027