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81381255075 = 325229109311411
BaseRepresentation
bin100101111001010110…
…0110110011110100011
321210001121012002202100
41023302230312132203
52313132100130300
6101215214421443
75610463153221
oct1136254663643
9253047162670
1081381255075
11315716624aa
1213932501883
13789c34c503
143d203abb11
1521b48ae700
hex12f2b367a3

81381255075 has 72 divisors (see below), whose sum is σ = 150940361520. Its totient is φ = 41864659200.

The previous prime is 81381255013. The next prime is 81381255077. The reversal of 81381255075 is 57055218318.

81381255075 is a `hidden beast` number, since 8 + 13 + 8 + 12 + 550 + 75 = 666.

It is a Cunningham number, because it is equal to 2852742-1.

It is not a de Polignac number, because 81381255075 - 220 = 81380206499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 81381255075.

It is not an unprimeable number, because it can be changed into a prime (81381255077) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7126120 + ... + 7137530.

It is an arithmetic number, because the mean of its divisors is an integer number (2096393910).

Almost surely, 281381255075 is an apocalyptic number.

81381255075 is a deficient number, since it is larger than the sum of its proper divisors (69559106445).

81381255075 is a wasteful number, since it uses less digits than its factorization.

81381255075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12549 (or 12541 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 81381255075 in words is "eighty-one billion, three hundred eighty-one million, two hundred fifty-five thousand, seventy-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 1093 1305 2175 3279 5465 6525 9837 11411 16395 27325 31697 34233 49185 57055 81975 95091 102699 158485 171165 245925 285273 285275 330919 475455 513495 792425 855825 992757 1426365 1654595 2377275 2567475 2978271 4963785 7131825 8272975 12472223 14891355 24818925 37416669 62361115 74456775 112250007 187083345 311805575 361694467 561250035 935416725 1085083401 1808472335 2806250175 3255250203 5425417005 9042361675 16276251015 27127085025 81381255075