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75466867606273 = 112131014441106961
BaseRepresentation
bin10001001010001011111111…
…110101100000001100000001
3100220012120011202111121200201
4101022023333311200030001
534342422121101400043
6424301000025045201
721616205221412503
oct2112137765401401
9326176152447621
1075466867606273
112205635638a300
128569b99326801
1333156588c6220
14148c889d99d73
158ad0ee229c4d
hex44a2ffd60301

75466867606273 has 48 divisors (see below), whose sum is σ = 90237679244496. Its totient is φ = 62687116800000.

The previous prime is 75466867606189. The next prime is 75466867606357. The reversal of 75466867606273 is 37260676866457.

It is an interprime number because it is at equal distance from previous prime (75466867606189) and next prime (75466867606357).

It can be written as a sum of positive squares in 8 ways, for example, as 911811092544 + 74555056513729 = 954888^2 + 8634527^2 .

It is not a de Polignac number, because 75466867606273 - 217 = 75466867475201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 75466867606196 and 75466867606205.

It is not an unprimeable number, because it can be changed into a prime (75466867606373) 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, 705501513 + ... + 705608473.

It is an arithmetic number, because the mean of its divisors is an integer number (1879951650927).

Almost surely, 275466867606273 is an apocalyptic number.

It is an amenable number.

75466867606273 is a deficient number, since it is larger than the sum of its proper divisors (14770811638223).

75466867606273 is a wasteful number, since it uses less digits than its factorization.

75466867606273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111538 (or 111527 counting only the distinct ones).

The product of its (nonzero) digits is 2560481280, while the sum is 73.

The spelling of 75466867606273 in words is "seventy-five trillion, four hundred sixty-six billion, eight hundred sixty-seven million, six hundred six thousand, two hundred seventy-three".

Divisors: 1 11 13 101 121 143 1111 1313 1573 4441 12221 14443 48851 57733 106961 158873 448541 537361 635063 1176571 1390493 4933951 5831033 6985693 10803061 12942281 15295423 54273461 64141363 118833671 140439793 168249653 475013801 705554993 1307170381 1544837723 5225151811 6175179413 16993214953 47976393901 57476669921 67926973543 527740332911 623693120713 747196708973 5805143662021 6860624327843 75466867606273