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76617421316505 = 32517100153491917
BaseRepresentation
bin10001011010111011100010…
…001011100110000110011001
3101001021112221211021221200200
4101122323202023212012121
540020244434324112010
6430541320224052413
722065266060526366
oct2132734213460631
9331245854257620
1076617421316505
112245a2a1a15003
128714b77464109
133399cb80803b4
1414cc43552b46d
158ccedce97cc0
hex45aee22e6199

76617421316505 has 24 divisors (see below), whose sum is σ = 140615502652872. Its totient is φ = 38458940895744.

The previous prime is 76617421316503. The next prime is 76617421316507. The reversal of 76617421316505 is 50561312471667.

76617421316505 is a `hidden beast` number, since 7 + 6 + 61 + 7 + 42 + 1 + 31 + 6 + 505 = 666.

It is an interprime number because it is at equal distance from previous prime (76617421316503) and next prime (76617421316507).

It can be written as a sum of positive squares in 4 ways, for example, as 12669762610521 + 63947658705984 = 3559461^2 + 7996728^2 .

It is not a de Polignac number, because 76617421316505 - 21 = 76617421316503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (76617421316503) 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 23 ways as a sum of consecutive naturals, for example, 50076745194 + ... + 50076746723.

It is an arithmetic number, because the mean of its divisors is an integer number (5858979277203).

Almost surely, 276617421316505 is an apocalyptic number.

It is an amenable number.

76617421316505 is a deficient number, since it is larger than the sum of its proper divisors (63998081336367).

76617421316505 is a wasteful number, since it uses less digits than its factorization.

76617421316505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100153491945 (or 100153491942 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 76617421316505 in words is "seventy-six trillion, six hundred seventeen billion, four hundred twenty-one million, three hundred sixteen thousand, five hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 100153491917 300460475751 500767459585 901381427253 1502302378755 1702609362589 4506907136265 5107828087767 8513046812945 15323484263301 25539140438835 76617421316505