Search a number
-
+
1330808187852 = 22321113694937201
BaseRepresentation
bin10011010111011010010…
…110010110101111001100
311201020001022101112220200
4103113122112112233030
5133300443344002402
62455210450013500
7165101444645133
oct23273226265714
94636038345820
101330808187852
11473435589770
12195b04b77290
1398657a4b1b0
14485a909091a
152493d99221c
hex135da596bcc

1330808187852 has 144 divisors (see below), whose sum is σ = 3952772023200. Its totient is φ = 372190464000.

The previous prime is 1330808187851. The next prime is 1330808187859. The reversal of 1330808187852 is 2587818080331.

1330808187852 is a `hidden beast` number, since 1 + 330 + 80 + 8 + 187 + 8 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (1330808187851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35754852 + ... + 35792052.

Almost surely, 21330808187852 is an apocalyptic number.

1330808187852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330808187852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976386011600).

1330808187852 is an abundant number, since it is smaller than the sum of its proper divisors (2621963835348).

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

1330808187852 is a wasteful number, since it uses less digits than its factorization.

1330808187852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44184 (or 44179 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1330808187852 in words is "one trillion, three hundred thirty billion, eight hundred eight million, one hundred eighty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 6949 13898 20847 27796 37201 41694 62541 74402 76439 83388 90337 111603 125082 148804 152878 180674 223206 229317 250164 271011 305756 334809 361348 409211 446412 458634 483613 542022 669618 687951 813033 818422 917268 967226 993707 1084044 1227633 1339236 1375902 1450839 1626066 1636844 1934452 1987414 2455266 2751804 2901678 2981121 3252132 3682899 3974828 4352517 4910532 5319743 5803356 5962242 7365798 8705034 8943363 10639486 11924484 14731596 15959229 17410068 17886726 21278972 31918458 35773452 47877687 63836916 95755374 191510748 258509749 517019498 775529247 1034038996 1551058494 2326587741 2843607239 3102116988 3360626737 4653175482 5687214478 6721253474 8530821717 9306350964 10081880211 11374428956 13442506948 17061643434 20163760422 25592465151 30245640633 34123286868 36966894107 40327520844 51184930302 60491281266 73933788214 102369860604 110900682321 120982562532 147867576428 221801364642 332702046963 443602729284 665404093926 1330808187852