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77630248041 = 340169719257
BaseRepresentation
bin100100001001100011…
…1111001010001101001
321102101012000012102220
41020103013321101221
52232441320414131
655355101344253
75415515135523
oct1102307712151
9242335005386
1077630248041
112aa17284395
1213066268089
1374221aa018
143a86150a13
15204541ee96
hex12131f9469

77630248041 has 16 divisors (see below), whose sum is σ = 103791215808. Its totient is φ = 51611456000.

The previous prime is 77630248039. The next prime is 77630248061. The reversal of 77630248041 is 14084203677.

It is a cyclic number.

It is not a de Polignac number, because 77630248041 - 21 = 77630248039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77630247984 and 77630248002.

It is not an unprimeable number, because it can be changed into a prime (77630248021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8381485 + ... + 8390741.

It is an arithmetic number, because the mean of its divisors is an integer number (6486950988).

Almost surely, 277630248041 is an apocalyptic number.

It is an amenable number.

77630248041 is a deficient number, since it is larger than the sum of its proper divisors (26160967767).

77630248041 is a wasteful number, since it uses less digits than its factorization.

77630248041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16632.

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 77630248041 in words is "seventy-seven billion, six hundred thirty million, two hundred forty-eight thousand, forty-one".

Divisors: 1 3 401 1203 6971 9257 20913 27771 2795371 3712057 8386113 11136171 64530547 193591641 25876749347 77630248041