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75666332245332 = 22319599196120689
BaseRepresentation
bin10001001101000101110000…
…110110101101110101010100
3100220220122000210102011001010
4101031011300312231311110
534404204122023322312
6424532344432332220
721636466152025443
oct2115056066556524
9326818023364033
1075666332245332
1122122a02a31944
1285a07856a4070
13332b3c602c17a
1414983acd1cd5a
158b33c569d93c
hex44d170dadd54

75666332245332 has 96 divisors (see below), whose sum is σ = 189202769280000. Its totient is φ = 23464073654784.

The previous prime is 75666332245331. The next prime is 75666332245369. The reversal of 75666332245332 is 23354223366657.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75666332245331) 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 31 ways as a sum of consecutive naturals, for example, 9302044 + ... + 15422732.

It is an arithmetic number, because the mean of its divisors is an integer number (1970862180000).

Almost surely, 275666332245332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75666332245332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94601384640000).

75666332245332 is an abundant number, since it is smaller than the sum of its proper divisors (113536437034668).

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

75666332245332 is a wasteful number, since it uses less digits than its factorization.

75666332245332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6121693 (or 6121691 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 57.

The spelling of 75666332245332 in words is "seventy-five trillion, six hundred sixty-six billion, three hundred thirty-two million, two hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 354 708 919 1121 1838 2242 2757 3363 3676 4484 5514 6726 11028 13452 17461 34922 52383 54221 69844 104766 108442 162663 209532 216884 325326 650652 1030199 2060398 3090597 4120796 6120689 6181194 12241378 12362388 18362067 24482756 36724134 73448268 116293091 232586182 348879273 361120651 465172364 697758546 722241302 1083361953 1395517092 1444482604 2166723906 4333447812 5624913191 6861292369 11249826382 13722584738 16874739573 20583877107 22499652764 27445169476 33749479146 41167754214 67498958292 82335508428 106873350629 213746701258 320620051887 331869878269 427493402516 641240103774 663739756538 995609634807 1282480207548 1327479513076 1991219269614 3982438539228 6305527687111 12611055374222 18916583061333 25222110748444 37833166122666 75666332245332