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8076941001 = 34419725073
BaseRepresentation
bin1111000010110110…
…00101011011001001
3202211220012010010000
413201123011123021
5113020144103001
63413244513213
7404103602643
oct74133053311
922756163100
108076941001
11347524a358
121694b4b809
139b947203c
145689b5893
15324147a86
hex1e16c56c9

8076941001 has 40 divisors (see below), whose sum is σ = 12487754664. Its totient is φ = 5198929920.

The previous prime is 8076940979. The next prime is 8076941017. The reversal of 8076941001 is 1001496708.

It can be written as a sum of positive squares in 4 ways, for example, as 9308601 + 8067632400 = 3051^2 + 89820^2 .

It is not a de Polignac number, because 8076941001 - 25 = 8076940969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8076941051) 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 39 ways as a sum of consecutive naturals, for example, 309601 + ... + 334673.

Almost surely, 28076941001 is an apocalyptic number.

8076941001 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8076941001 is a deficient number, since it is larger than the sum of its proper divisors (4410813663).

8076941001 is a wasteful number, since it uses less digits than its factorization.

8076941001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25223 (or 25214 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 8076941001 is about 89871.8031475946. The cubic root of 8076941001 is about 2006.3913039439.

The spelling of 8076941001 in words is "eight billion, seventy-six million, nine hundred forty-one thousand, one".

Divisors: 1 3 9 27 41 81 97 123 291 369 873 1107 2619 3321 3977 7857 11931 25073 35793 75219 107379 225657 322137 676971 1027993 2030913 2432081 3083979 7296243 9251937 21888729 27755811 65666187 83267433 99715321 196998561 299145963 897437889 2692313667 8076941001