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76476141611145 = 32526947057134257
BaseRepresentation
bin10001011000110111111101…
…010000010010100010001001
3101000210001021210121022012200
4101120313331100102202021
540010441114223024040
6430352353205430413
722052135040043563
oct2130677520224211
9330701253538180
1076476141611145
1122405393235331
1286b170910b409
13338989133a9c3
1414c5671d82333
158c94bec44630
hex458dfd412889

76476141611145 has 48 divisors (see below), whose sum is σ = 133055247021840. Its totient is φ = 40634483761152.

The previous prime is 76476141611119. The next prime is 76476141611167. The reversal of 76476141611145 is 54111614167467.

76476141611145 is a `hidden beast` number, since 7 + 6 + 4 + 7 + 6 + 1 + 4 + 1 + 611 + 14 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50162811970041 + 26313329641104 = 7082571^2 + 5129652^2 .

It is not a de Polignac number, because 76476141611145 - 221 = 76476139513993 is a prime.

It is a super-2 number, since 2×764761416111452 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76476141611091 and 76476141611100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569557857 + ... + 569692113.

It is an arithmetic number, because the mean of its divisors is an integer number (2771984312955).

Almost surely, 276476141611145 is an apocalyptic number.

It is an amenable number.

76476141611145 is a deficient number, since it is larger than the sum of its proper divisors (56579105410695).

76476141611145 is a wasteful number, since it uses less digits than its factorization.

76476141611145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181594 (or 181591 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 76476141611145 in words is "seventy-six trillion, four hundred seventy-six billion, one hundred forty-one million, six hundred eleven thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 269 807 1345 2421 4035 12105 47057 134257 141171 235285 402771 423513 671285 705855 1208313 2013855 2117565 6041565 12658333 36115133 37974999 63291665 108345399 113924997 180575665 189874995 325036197 541726995 569624985 1625180985 6317731649 18953194947 31588658245 56859584841 94765974735 284297924205 1699469813581 5098409440743 8497349067905 15295228322229 25492047203715 76476141611145