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135230046336 = 273272111723557
BaseRepresentation
bin111110111110001010…
…1101100000010000000
3110221001102012010102200
41331330111230002000
54203422342440321
6142042425113200
712525061266600
oct1757425540200
9427042163380
10135230046336
1152394921380
1222260328800
13c9a15aa7c8
14678bd30c00
1537b70abd26
hex1f7c56c080

135230046336 has 1152 divisors, whose sum is σ = 546584837760. Its totient is φ = 31564431360.

The previous prime is 135230046323. The next prime is 135230046337. The reversal of 135230046336 is 633640032531.

135230046336 is a `hidden beast` number, since 13 + 5 + 2 + 3 + 0 + 0 + 4 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 135230046336.

It is not an unprimeable number, because it can be changed into a prime (135230046337) 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 143 ways as a sum of consecutive naturals, for example, 242782570 + ... + 242783126.

It is an arithmetic number, because the mean of its divisors is an integer number (474466005).

Almost surely, 2135230046336 is an apocalyptic number.

135230046336 is a gapful number since it is divisible by the number (16) 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 135230046336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273292418880).

135230046336 is an abundant number, since it is smaller than the sum of its proper divisors (411354791424).

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

135230046336 is a wasteful number, since it uses less digits than its factorization.

135230046336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 135230046336 its reverse (633640032531), we get a palindrome (768870078867).

The spelling of 135230046336 in words is "one hundred thirty-five billion, two hundred thirty million, forty-six thousand, three hundred thirty-six".