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76244505876101 = 1429162733278753
BaseRepresentation
bin10001010101100000001110…
…101100000101011010000101
3100222221220101201002202200202
4101111200032230011122011
534443142222001013401
6430054124212020245
722026324634555103
oct2125401654053205
9328856351082622
1076244505876101
1122326127971162
128674842901685
133370a97abb4a4
1414b837a4dcc73
158c346428906b
hex45580eb05685

76244505876101 has 8 divisors (see below), whose sum is σ = 76302572912280. Its totient is φ = 76186445432832.

The previous prime is 76244505876089. The next prime is 76244505876107. The reversal of 76244505876101 is 10167850544267.

It is a Cunningham number, because it is equal to 87318102+1.

It can be written as a sum of positive squares in 4 ways, for example, as 419160425476 + 75825345450625 = 647426^2 + 8707775^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 76244505876101 - 26 = 76244505876037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76244505876107) 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 7 ways as a sum of consecutive naturals, for example, 21614741 + ... + 24893493.

It is an arithmetic number, because the mean of its divisors is an integer number (9537821614035).

Almost surely, 276244505876101 is an apocalyptic number.

It is an amenable number.

76244505876101 is a deficient number, since it is larger than the sum of its proper divisors (58067036179).

76244505876101 is a wasteful number, since it uses less digits than its factorization.

76244505876101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296455.

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 76244505876101 in words is "seventy-six trillion, two hundred forty-four billion, five hundred five million, eight hundred seventy-six thousand, one hundred one".

Divisors: 1 1429 16273 3278753 23254117 4685338037 53355147569 76244505876101