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117535957 = 72111923499
BaseRepresentation
bin1110000000101…
…11010011010101
322012011110000121
413000113103111
5220042122312
615355111541
72625016300
oct700272325
9265143017
10117535957
1160389560
12334425b1
131b473506
1411877b37
15a4ba707
hex70174d5

117535957 has 48 divisors (see below), whose sum is σ = 164160000. Its totient is φ = 82827360.

The previous prime is 117535937. The next prime is 117535993. The reversal of 117535957 is 759535711.

It is not a de Polignac number, because 117535957 - 27 = 117535829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117535937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235294 + ... + 235792.

It is an arithmetic number, because the mean of its divisors is an integer number (3420000).

Almost surely, 2117535957 is an apocalyptic number.

It is an amenable number.

117535957 is a deficient number, since it is larger than the sum of its proper divisors (46624043).

117535957 is a wasteful number, since it uses less digits than its factorization.

117535957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 559 counting only the distinct ones).

The product of its digits is 165375, while the sum is 43.

The square root of 117535957 is about 10841.4001402033. The cubic root of 117535957 is about 489.8430109328.

The spelling of 117535957 in words is "one hundred seventeen million, five hundred thirty-five thousand, nine hundred fifty-seven".

Divisors: 1 7 11 19 23 49 77 133 161 209 253 437 499 539 931 1127 1463 1771 3059 3493 4807 5489 9481 10241 11477 12397 21413 24451 33649 38423 66367 80339 104291 126247 218063 235543 268961 464569 562373 730037 883729 1526441 2398693 5110259 6186103 10685087 16790851 117535957