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13780467941130 = 23251137376207151
BaseRepresentation
bin1100100010001000001111…
…1001010111111100001010
31210210101210111121212120100
43020202003321113330022
53301234344243104010
645150354245110230
72621414561551362
oct310420371277412
953711714555510
1013780467941130
114433299995580
1216668b69b8376
1378c6531990b7
14358d9a2b39a2
1518d6dcd422c0
hexc8883e57f0a

13780467941130 has 96 divisors (see below), whose sum is σ = 40142807947008. Its totient is φ = 3250429776000.

The previous prime is 13780467941113. The next prime is 13780467941137. The reversal of 13780467941130 is 3114976408731.

13780467941130 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 0 + 467 + 9 + 41 + 130 = 666.

It is a super-2 number, since 2×137804679411302 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13780467941137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188066946 + ... + 188140205.

It is an arithmetic number, because the mean of its divisors is an integer number (418154249448).

Almost surely, 213780467941130 is an apocalyptic number.

13780467941130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13780467941130 is an abundant number, since it is smaller than the sum of its proper divisors (26362340005878).

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

13780467941130 is a wasteful number, since it uses less digits than its factorization.

13780467941130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376207212 (or 376207209 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 13780467941130 in words is "thirteen trillion, seven hundred eighty billion, four hundred sixty-seven million, nine hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 12210 18315 36630 376207151 752414302 1128621453 1881035755 2257242906 3385864359 3762071510 4138278661 5643107265 6771728718 8276557322 11286214530 12414835983 13919664587 16929321795 20691393305 24829671966 27839329174 33858643590 37244507949 41382786610 41758993761 62074179915 69598322935 74489015898 83517987522 124148359830 125276981283 139196645870 153116310457 186222539745 208794968805 250553962566 306232620914 372445079490 417589937610 459348931371 626384906415 765581552285 918697862742 1252769812830 1378046794113 1531163104570 2296744656855 2756093588226 4593489313710 6890233970565 13780467941130