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83133166133138 = 21122411425416929
BaseRepresentation
bin10010111001101111110010…
…110101100001111110010010
3101220100110020021200202212012
4102321233302311201332102
541344023211012230023
6452450503240302522
723340113232616562
oct2271576265417622
9356313207622765
1083133166133138
112454163a006700
1293a7921171a42
1337505684a83b4
141675949646da2
1599273ee4e978
hex4b9bf2d61f92

83133166133138 has 24 divisors (see below), whose sum is σ = 137635407926940. Its totient is φ = 37631006899200.

The previous prime is 83133166133131. The next prime is 83133166133153.

83133166133138 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 80620519505449 + 2512646627689 = 8978893^2 + 1585133^2 .

It is a super-2 number, since 2×831331661331382 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83133166133131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 712650143 + ... + 712766786.

Almost surely, 283133166133138 is an apocalyptic number.

83133166133138 is a deficient number, since it is larger than the sum of its proper divisors (54502241793802).

83133166133138 is a wasteful number, since it uses less digits than its factorization.

83133166133138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425417194 (or 1425417183 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 50.

The spelling of 83133166133138 in words is "eighty-three trillion, one hundred thirty-three billion, one hundred sixty-six million, one hundred thirty-three thousand, one hundred thirty-eight".

Divisors: 1 2 11 22 121 241 242 482 2651 5302 29161 58322 1425416929 2850833858 15679586219 31359172438 172475448409 343525479889 344950896818 687050959778 3778780278779 7557560557558 41566583066569 83133166133138