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5121831311991 = 3217732232279059
BaseRepresentation
bin100101010001000010011…
…1011111001101001110111
3200010122100020020000200200
41022202010323321221313
51132404002303440431
614520534204211543
71036016516553432
oct112420473715167
920118306200620
105121831311991
1116a517a282469
126a878ab39bb3
132b1ca97b28a4
14139c7ddd6819
158d36d367ee6
hex4a884ef9a77

5121831311991 has 96 divisors (see below), whose sum is σ = 8012326533120. Its totient is φ = 3141213530112.

The previous prime is 5121831311941. The next prime is 5121831312023. The reversal of 5121831311991 is 1991131381215.

5121831311991 is a `hidden beast` number, since 5 + 1 + 218 + 31 + 311 + 9 + 91 = 666.

It is not a de Polignac number, because 5121831311991 - 215 = 5121831279223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5121831311911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 565381420 + ... + 565390478.

It is an arithmetic number, because the mean of its divisors is an integer number (83461734720).

Almost surely, 25121831311991 is an apocalyptic number.

5121831311991 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

5121831311991 is a deficient number, since it is larger than the sum of its proper divisors (2890495221129).

5121831311991 is a wasteful number, since it uses less digits than its factorization.

5121831311991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9605 (or 9602 counting only the distinct ones).

The product of its digits is 58320, while the sum is 45.

The spelling of 5121831311991 in words is "five trillion, one hundred twenty-one billion, eight hundred thirty-one million, three hundred eleven thousand, nine hundred ninety-one".

Divisors: 1 3 9 17 51 73 153 219 223 227 657 669 681 1241 2007 2043 3723 3791 3859 9059 11169 11373 11577 16279 16571 27177 34119 34731 48837 49713 50621 81531 146511 149139 151863 154003 276743 281707 455589 462009 661307 830229 845121 860557 1386027 1983921 2020157 2056393 2490687 2535363 2581671 3695333 5951763 6060471 6169179 7745013 11085999 11242219 18181413 18507537 33257997 33726657 34342669 34958681 62820661 101179971 103028007 104876043 147471461 150116689 188461983 309084021 314628129 442414383 450350067 458575639 565385949 1327243149 1351050201 1375726917 2507014837 2551983713 4127180751 7521044511 7655951139 7795785863 22563133533 22967853417 23387357589 33476021647 70162072767 100428064941 301284194823 569092367999 1707277103997 5121831311991