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1327330312764 = 2231761523203947
BaseRepresentation
bin10011010100001011000…
…011010100001000111100
311200220001221011012012020
4103110023003110020330
5133221333030002024
62453433411040140
7164616324334461
oct23241303241074
94626057135166
101327330312764
11471a103a3735
121952b42a0050
139822235a241
1448359211668
15247d84a5979
hex1350b0d423c

1327330312764 has 96 divisors (see below), whose sum is σ = 3339434762496. Its totient is φ = 408805678080.

The previous prime is 1327330312741. The next prime is 1327330312879. The reversal of 1327330312764 is 4672130337231.

It is a super-2 number, since 2×13273303127642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6406239 + ... + 6610185.

It is an arithmetic number, because the mean of its divisors is an integer number (34785778776).

Almost surely, 21327330312764 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 1327330312764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669717381248).

1327330312764 is an abundant number, since it is smaller than the sum of its proper divisors (2012104449732).

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

1327330312764 is a wasteful number, since it uses less digits than its factorization.

1327330312764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204555 (or 204553 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

Adding to 1327330312764 its reverse (4672130337231), we get a palindrome (5999460649995).

The spelling of 1327330312764 in words is "one trillion, three hundred twenty-seven billion, three hundred thirty million, three hundred twelve thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 523 732 1037 1046 1569 2074 2092 3111 3138 4148 6222 6276 8891 12444 17782 26673 31903 35564 53346 63806 95709 106692 127612 191418 203947 382836 407894 542351 611841 815788 1084702 1223682 1627053 2169404 2447364 3254106 3467099 6508212 6934198 10401297 12440767 13868396 20802594 24881534 37322301 41605188 49763068 74644602 106664281 149289204 211493039 213328562 319992843 422986078 426657124 634479117 639985686 845972156 1268958234 1279971372 1813292777 2537916468 3626585554 5439878331 6506521141 7253171108 10879756662 13013042282 19519563423 21759513324 26026084564 39039126846 78078253692 110610859397 221221718794 331832578191 442443437588 663665156382 1327330312764