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117545669532 = 223323113418771
BaseRepresentation
bin110110101111001000…
…1001001001110011100
3102020101221220201001000
41231132101021032130
53411213142411112
6125555535350300
711330614463664
oct1553621111634
9366357821030
10117545669532
114593a514335
121a945982390
13b113888215
1459913c31a4
1530ce79b7dc
hex1b5e44939c

117545669532 has 96 divisors (see below), whose sum is σ = 320812853760. Its totient is φ = 37146574080.

The previous prime is 117545669429. The next prime is 117545669557. The reversal of 117545669532 is 235966545711.

117545669532 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 45 + 6 + 69 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71307 + ... + 490077.

It is an arithmetic number, because the mean of its divisors is an integer number (3341800560).

Almost surely, 2117545669532 is an apocalyptic number.

117545669532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117545669532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160406426880).

117545669532 is an abundant number, since it is smaller than the sum of its proper divisors (203267184228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117545669532 is a wasteful number, since it uses less digits than its factorization.

117545669532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418920 (or 418912 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 117545669532 in words is "one hundred seventeen billion, five hundred forty-five million, six hundred sixty-nine thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 113 138 207 226 276 339 414 452 621 678 828 1017 1242 1356 2034 2484 2599 3051 4068 5198 6102 7797 10396 12204 15594 23391 31188 46782 70173 93564 140346 280692 418771 837542 1256313 1675084 2512626 3768939 5025252 7537878 9631733 11306817 15075756 19263466 22613634 28895199 38526932 45227268 47321123 57790398 86685597 94642246 115580796 141963369 173371194 189284492 260056791 283926738 346742388 425890107 520113582 567853476 851780214 1040227164 1088385829 1277670321 1703560428 2176771658 2555340642 3265157487 4353543316 5110681284 6530314974 9795472461 13060629948 19590944922 29386417383 39181889844 58772834766 117545669532