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132938787839231 = 11186134487188303
BaseRepresentation
bin11110001110100000111001…
…001110011101110011111111
3122102200211020200210121111102
4132032200321032131303333
5114411032114141323411
61150423122552243315
740000340043163463
oct3616407116356377
9572624220717442
10132938787839231
11393a4029034590
1212ab05170a053b
1359240c64964ca
1424b83b36284a3
151058099e4ad3b
hex78e83939dcff

132938787839231 has 16 divisors (see below), whose sum is σ = 145107038297088. Its totient is φ = 120784359559200.

The previous prime is 132938787839189. The next prime is 132938787839311.

132938787839231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 132938787839231 - 214 = 132938787822847 is a prime.

It is a super-2 number, since 2×1329387878392312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132938787838231) 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, 705889226 + ... + 706077528.

It is an arithmetic number, because the mean of its divisors is an integer number (9069189893568).

Almost surely, 2132938787839231 is an apocalyptic number.

132938787839231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132938787839231 is a deficient number, since it is larger than the sum of its proper divisors (12168250457857).

132938787839231 is a wasteful number, since it uses less digits than its factorization.

132938787839231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224662.

The product of its digits is 658409472, while the sum is 74.

The spelling of 132938787839231 in words is "one hundred thirty-two trillion, nine hundred thirty-eight billion, seven hundred eighty-seven million, eight hundred thirty-nine thousand, two hundred thirty-one".

Divisors: 1 11 1861 20471 34487 188303 379357 2071333 64180307 350431883 705983377 3854750713 6494005561 71434061171 12085344349021 132938787839231