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13820874375 = 354711293301
BaseRepresentation
bin11001101111100100…
…11100111010000111
31022200012102011102010
430313302130322013
5211301120440000
610203233145303
7666331331250
oct146762347207
938605364363
1013820874375
115952583530
1228186bb233
1313c3482c99
149517a9b27
1555d54dd50
hex337c9ce87

13820874375 has 160 divisors (see below), whose sum is σ = 29708490240. Its totient is φ = 5544000000.

The previous prime is 13820874359. The next prime is 13820874401. The reversal of 13820874375 is 57347802831.

It is not a de Polignac number, because 13820874375 - 24 = 13820874359 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4185225 + ... + 4188525.

It is an arithmetic number, because the mean of its divisors is an integer number (185678064).

Almost surely, 213820874375 is an apocalyptic number.

13820874375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13820874375 is an abundant number, since it is smaller than the sum of its proper divisors (15887615865).

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

13820874375 is a wasteful number, since it uses less digits than its factorization.

13820874375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 13820874375 in words is "thirteen billion, eight hundred twenty million, eight hundred seventy-four thousand, three hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 29 33 35 55 75 77 87 105 125 145 165 175 203 231 275 319 375 385 435 525 609 625 725 825 875 957 1015 1155 1375 1595 1875 1925 2175 2233 2625 3045 3301 3625 4125 4375 4785 5075 5775 6699 6875 7975 9625 9903 10875 11165 13125 15225 16505 18125 20625 23107 23925 25375 28875 33495 36311 39875 48125 49515 54375 55825 69321 76125 82525 95729 108933 115535 119625 126875 144375 167475 181555 199375 247575 254177 279125 287187 346605 380625 412625 478645 544665 577675 598125 670103 762531 837375 907775 1053019 1237875 1270885 1395625 1435935 1733025 2010309 2063125 2393225 2723325 2888375 3159057 3350515 3812655 4186875 4538875 5265095 6189375 6354425 7179675 7371133 8665125 10051545 11966125 13616625 14441875 15795285 16752575 19063275 22113399 22694375 26325475 31772125 35898375 36855665 43325625 50257725 59830625 68083125 78976425 83762875 95316375 110566995 131627375 158860625 179491875 184278325 251288625 394882125 418814375 476581875 552834975 658136875 921391625 1256443125 1974410625 2764174875 4606958125 13820874375