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117424920753 = 33719222114723
BaseRepresentation
bin110110101011100010…
…0100001100010110001
3102020002112201000212000
41231113010201202301
53410441234431003
6125535543324213
711324620233510
oct1552704414261
9366075630760
10117424920753
1145888340a58
121a911450669
13b0c485b53a
14597d350677
1530c3d991a3
hex1b571218b1

117424920753 has 64 divisors (see below), whose sum is σ = 209387059200. Its totient is φ = 63535440960.

The previous prime is 117424920731. The next prime is 117424920763. The reversal of 117424920753 is 357029424711.

117424920753 is a `hidden beast` number, since 1 + 17 + 424 + 9 + 207 + 5 + 3 = 666.

It is not a de Polignac number, because 117424920753 - 220 = 117423872177 is a prime.

It is a super-3 number, since 3×1174249207533 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 117424920699 and 117424920708.

It is not an unprimeable number, because it can be changed into a prime (117424920763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7968250 + ... + 7982972.

It is an arithmetic number, because the mean of its divisors is an integer number (3271672800).

Almost surely, 2117424920753 is an apocalyptic number.

It is an amenable number.

117424920753 is a deficient number, since it is larger than the sum of its proper divisors (91962138447).

117424920753 is a wasteful number, since it uses less digits than its factorization.

117424920753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16979 (or 16973 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 117424920753 in words is "one hundred seventeen billion, four hundred twenty-four million, nine hundred twenty thousand, seven hundred fifty-three".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 2221 3591 6663 14723 15547 19989 42199 44169 46641 59967 103061 126597 132507 139923 279737 295393 309183 379791 397521 419769 839211 886179 927549 1139373 1958159 2517633 2658537 2782647 5874477 7552899 7975611 17623431 32699783 52870293 98099349 228898481 294298047 621295877 686695443 882894141 1863887631 2060086329 4349071139 5591662893 6180258987 13047213417 16774988679 39141640251 117424920753