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117332751312 = 24337103337561
BaseRepresentation
bin110110101000110010…
…0111011001111010000
3102012212010021100011000
41231101210323033100
53410244141020222
6125522452022000
711322420634110
oct1552144731720
9365763240130
10117332751312
1145840308767
121a8a6601900
13b0ab729cca
145970ddb040
1530bac3e9ac
hex1b5193b3d0

117332751312 has 160 divisors (see below), whose sum is σ = 385283951360. Its totient is φ = 33490298880.

The previous prime is 117332751311. The next prime is 117332751313. The reversal of 117332751312 is 213157233711.

117332751312 is a `hidden beast` number, since 1 + 1 + 7 + 332 + 7 + 5 + 1 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (117332751311) and next prime (117332751313).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117332751311) by changing a digit.

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, 3105012 + ... + 3142572.

It is an arithmetic number, because the mean of its divisors is an integer number (2408024696).

Almost surely, 2117332751312 is an apocalyptic number.

117332751312 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 117332751312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192641975680).

117332751312 is an abundant number, since it is smaller than the sum of its proper divisors (267951200048).

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

117332751312 is a wasteful number, since it uses less digits than its factorization.

117332751312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38618 (or 38606 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The spelling of 117332751312 in words is "one hundred seventeen billion, three hundred thirty-two million, seven hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1033 1512 2066 3024 3099 4132 6198 7231 8264 9297 12396 14462 16528 18594 21693 24792 27891 28924 37188 37561 43386 49584 55782 57848 65079 74376 75122 86772 111564 112683 115696 130158 148752 150244 173544 195237 223128 225366 260316 262927 300488 338049 347088 390474 446256 450732 520632 525854 600976 676098 780948 788781 901464 1014147 1041264 1051708 1352196 1561896 1577562 1802928 2028294 2103416 2366343 2704392 3123792 3155124 4056588 4206832 4732686 5408784 6310248 7099029 8113176 9465372 12620496 14198058 16226352 18930744 28396116 37861488 38800513 56792232 77601026 113584464 116401539 155202052 232803078 271603591 310404104 349204617 465606156 543207182 620808208 698409234 814810773 931212312 1047613851 1086414364 1396818468 1629621546 1862424624 2095227702 2172828728 2444432319 2793636936 3259243092 4190455404 4345657456 4888864638 5587273872 6518486184 7333296957 8380910808 9777729276 13036972368 14666593914 16761821616 19555458552 29333187828 39110917104 58666375656 117332751312