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8901004681 is a prime number
BaseRepresentation
bin10000100101000101…
…01000110110001001
3211222022210212222001
420102202220312021
5121212124122211
64031123231001
7433401201652
oct102242506611
924868725861
108901004681
113858426618
121884b18461
13abb0cbb9a
14606206529
15371674ac1
hex2128a8d89

8901004681 has 2 divisors, whose sum is σ = 8901004682. Its totient is φ = 8901004680.

The previous prime is 8901004667. The next prime is 8901004691. The reversal of 8901004681 is 1864001098.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7957532025 + 943472656 = 89205^2 + 30716^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8901004681 is a prime.

It is a super-2 number, since 2×89010046812 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8901004681.

It is not a weakly prime, because it can be changed into another prime (8901004621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4450502340 + 4450502341.

It is an arithmetic number, because the mean of its divisors is an integer number (4450502341).

Almost surely, 28901004681 is an apocalyptic number.

It is an amenable number.

8901004681 is a deficient number, since it is larger than the sum of its proper divisors (1).

8901004681 is an equidigital number, since it uses as much as digits as its factorization.

8901004681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 8901004681 is about 94345.1359689518. The cubic root of 8901004681 is about 2072.4290745924.

The spelling of 8901004681 in words is "eight billion, nine hundred one million, four thousand, six hundred eighty-one".