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135930341232 = 24327359375631
BaseRepresentation
bin111111010011000010…
…1000110011101110000
3110222212012220210102200
41332212011012131300
54211341131404412
6142240122543200
712551323556640
oct1764605063560
9428765823380
10135930341232
1152714152294
1222416967b00
13ca836c119a
146816d44520
1538087db9dc
hex1fa6146770

135930341232 has 120 divisors (see below), whose sum is σ = 435973524480. Its totient is φ = 38728955520.

The previous prime is 135930341231. The next prime is 135930341233. The reversal of 135930341232 is 232143039531.

135930341232 is a `hidden beast` number, since 1 + 3 + 59 + 30 + 341 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (135930341231) and next prime (135930341233).

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 (135930341231) 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 23 ways as a sum of consecutive naturals, for example, 174057 + ... + 549687.

It is an arithmetic number, because the mean of its divisors is an integer number (3633112704).

Almost surely, 2135930341232 is an apocalyptic number.

135930341232 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 135930341232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217986762240).

135930341232 is an abundant number, since it is smaller than the sum of its proper divisors (300043183248).

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

135930341232 is a wasteful number, since it uses less digits than its factorization.

135930341232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376011 (or 376002 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 135930341232 in words is "one hundred thirty-five billion, nine hundred thirty million, three hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 359 504 718 1008 1077 1436 2154 2513 2872 3231 4308 5026 5744 6462 7539 8616 10052 12924 15078 17232 20104 22617 25848 30156 40208 45234 51696 60312 90468 120624 180936 361872 375631 751262 1126893 1502524 2253786 2629417 3005048 3380679 4507572 5258834 6010096 6761358 7888251 9015144 10517668 13522716 15776502 18030288 21035336 23664753 27045432 31553004 42070672 47329506 54090864 63106008 94659012 126212016 134851529 189318024 269703058 378636048 404554587 539406116 809109174 943960703 1078812232 1213663761 1618218348 1887921406 2157624464 2427327522 2831882109 3236436696 3775842812 4854655044 5663764218 6472873392 7551685624 8495646327 9709310088 11327528436 15103371248 16991292654 19418620176 22655056872 33982585308 45310113744 67965170616 135930341232