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76189109401 = 294189719981
BaseRepresentation
bin100011011110100111…
…0011000110010011001
321021122202020202212201
41012331032120302121
52222013403000101
655000101010201
75335015513246
oct1067516306231
9237582222781
1076189109401
112a347847619
12129236b3961
137252756672
14398a9b05cd
151eadb50e01
hex11bd398c99

76189109401 has 16 divisors (see below), whose sum is σ = 81645958800. Its totient is φ = 70961228800.

The previous prime is 76189109267. The next prime is 76189109441. The reversal of 76189109401 is 10490198167.

It can be written as a sum of positive squares in 8 ways, for example, as 16731163801 + 59457945600 = 129349^2 + 243840^2 .

It is a cyclic number.

It is not a de Polignac number, because 76189109401 - 211 = 76189107353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76189109441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254170 + ... + 465811.

It is an arithmetic number, because the mean of its divisors is an integer number (5102872425).

Almost surely, 276189109401 is an apocalyptic number.

It is an amenable number.

76189109401 is a deficient number, since it is larger than the sum of its proper divisors (5456849399).

76189109401 is a wasteful number, since it uses less digits than its factorization.

76189109401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720140.

The product of its (nonzero) digits is 108864, while the sum is 46.

The spelling of 76189109401 in words is "seventy-six billion, one hundred eighty-nine million, one hundred nine thousand, four hundred one".

Divisors: 1 29 41 89 1189 2581 3649 105821 719981 20879449 29519221 64078309 856057409 1858270961 2627210669 76189109401