Search a number
-
+
20116771352337 = 3112531975998861
BaseRepresentation
bin1001001001011110011010…
…00000101010111100010001
32122020010220101100211012010
410210233031000222330101
510114043121431233322
6110441303413253133
74144250230110222
oct444571500527421
978203811324163
1020116771352337
116456524a92400
12230a9220341a9
13b2c00760bcaa
144d792a87d249
1524d43b68020c
hex124bcd02af11

20116771352337 has 96 divisors (see below), whose sum is σ = 30244999276800. Its totient is φ = 11880015347200.

The previous prime is 20116771352329. The next prime is 20116771352341. The reversal of 20116771352337 is 73325317761102.

It is not a de Polignac number, because 20116771352337 - 23 = 20116771352329 is a prime.

It is a super-2 number, since 2×201167713523372 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20116771352347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2270255287 + ... + 2270264147.

It is an arithmetic number, because the mean of its divisors is an integer number (315052075800).

Almost surely, 220116771352337 is an apocalyptic number.

It is an amenable number.

20116771352337 is a deficient number, since it is larger than the sum of its proper divisors (10128227924463).

20116771352337 is a wasteful number, since it uses less digits than its factorization.

20116771352337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9735 (or 9724 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 48.

The spelling of 20116771352337 in words is "twenty trillion, one hundred sixteen billion, seven hundred seventy-one million, three hundred fifty-two thousand, three hundred thirty-seven".

Divisors: 1 3 11 33 53 121 159 197 363 583 591 599 1749 1797 2167 6413 6501 6589 8861 10441 19239 19767 23837 26583 31323 31747 71511 72479 95241 97471 114851 118003 217437 292413 344553 349217 354009 469633 1047651 1072181 1263361 1298033 1408899 1745617 3216543 3790083 3841387 3894099 5165963 5236851 5307739 6254159 11524161 14278363 15497889 15923217 18762477 19201787 42835089 56825593 57605361 58385129 68795749 92517701 170476779 175155387 206387247 211219657 277553103 281310167 633658971 642236419 756753239 843930501 1017694711 1045624583 1926709257 2270259717 3053084133 3094411837 3136873749 9283235511 11194641821 11501870413 33583925463 34038530207 34505611239 55418102899 102115590621 126520574543 166254308697 379561723629 609599131889 1828797395667 6705590450779 20116771352337