Search a number
-
+
1325360014506 = 2321125731782163
BaseRepresentation
bin10011010010010101100…
…111001110010010101010
311200200222121200200002200
4103102111213032102222
5133203314130431011
62452510104441030
7164516441146623
oct23222547162252
94620877620080
101325360014506
1147109a1a3470
12194a44479176
1397c9a0b2198
144820d688a4a
152472050d856
hex134959ce4aa

1325360014506 has 96 divisors (see below), whose sum is σ = 3154817585088. Its totient is φ = 398794629120.

The previous prime is 1325360014493. The next prime is 1325360014519. The reversal of 1325360014506 is 6054100635231.

1325360014506 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 3 + 600 + 1 + 45 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1325360014493) and next prime (1325360014519).

It is a super-3 number, since 3×13253600145063 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16089781 + ... + 16171943.

It is an arithmetic number, because the mean of its divisors is an integer number (32862683178).

Almost surely, 21325360014506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325360014506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577408792544).

1325360014506 is an abundant number, since it is smaller than the sum of its proper divisors (1829457570582).

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

1325360014506 is a wasteful number, since it uses less digits than its factorization.

1325360014506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82756 (or 82753 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 1325360014506 its reverse (6054100635231), we get a palindrome (7379460649737).

The spelling of 1325360014506 in words is "one trillion, three hundred twenty-five billion, three hundred sixty million, fourteen thousand, five hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 257 317 514 634 771 951 1542 1902 2313 2827 2853 3487 4626 5654 5706 6974 8481 10461 16962 20922 25443 31383 50886 62766 81469 82163 162938 164326 244407 246489 488814 492978 733221 739467 896159 903793 1466442 1478934 1792318 1807586 2688477 2711379 5376954 5422758 8065431 8134137 16130862 16268274 21115891 26045671 42231782 52091342 63347673 78137013 126695346 156274026 190043019 232274801 234411039 286502381 380086038 464549602 468822078 573004762 696824403 859507143 1393648806 1719014286 2090473209 2578521429 4180946418 5157042858 6693737447 13387474894 20081212341 40162424682 60243637023 73631111917 120487274046 147262223834 220893335751 441786671502 662680007253 1325360014506