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99727111332433 = 1337741612795713
BaseRepresentation
bin10110101011001110000111…
…000010111010001001010001
3111002002211002212010212222001
4112223032013002322021101
5101032412111000114213
6552034000311314001
730002021533554244
oct2653160702721121
9432084085125861
1099727111332433
112985a037515242
12b22794797b901
1343852c30a88a0
141a8ab6461325b
15b7e1e73381dd
hex5ab3870ba251

99727111332433 has 16 divisors (see below), whose sum is σ = 110302614567376. Its totient is φ = 89566560829440.

The previous prime is 99727111332389. The next prime is 99727111332437. The reversal of 99727111332433 is 33423311172799.

It can be written as a sum of positive squares in 8 ways, for example, as 4209953001489 + 95517158330944 = 2051817^2 + 9773288^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-99727111332433 is a prime.

It is a super-4 number, since 4×997271113324334 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99727111332437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34273585 + ... + 37069297.

It is an arithmetic number, because the mean of its divisors is an integer number (6893913410461).

Almost surely, 299727111332433 is an apocalyptic number.

It is an amenable number.

99727111332433 is a deficient number, since it is larger than the sum of its proper divisors (10575503234943).

99727111332433 is a wasteful number, since it uses less digits than its factorization.

99727111332433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869924.

The product of its digits is 5143824, while the sum is 55.

The spelling of 99727111332433 in words is "ninety-nine trillion, seven hundred twenty-seven billion, one hundred eleven million, three hundred thirty-two thousand, four hundred thirty-three".

Divisors: 1 13 37 481 74161 964093 2743957 2795713 35671441 36344269 103441381 1344737953 207332871793 2695327333309 7671316256341 99727111332433