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29385132120 = 23325233795917
BaseRepresentation
bin11011010111011111…
…011000100001011000
32210211220022101012200
4123113133120201120
5440140043211440
621255505210200
72060122334061
oct332737304130
983756271180
1029385132120
111150a160763
125841030960
132a03b92056
1415ca911568
15b6eb70c30
hex6d77d8858

29385132120 has 192 divisors, whose sum is σ = 102348342720. Its totient is φ = 7292685312.

The previous prime is 29385132109. The next prime is 29385132163. The reversal of 29385132120 is 2123158392.

29385132120 is a `hidden beast` number, since 29 + 385 + 132 + 120 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 258402 + ... + 354318.

It is an arithmetic number, because the mean of its divisors is an integer number (533064285).

Almost surely, 229385132120 is an apocalyptic number.

29385132120 is a gapful number since it is divisible by the number (20) 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 29385132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51174171360).

29385132120 is an abundant number, since it is smaller than the sum of its proper divisors (72963210600).

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

29385132120 is a wasteful number, since it uses less digits than its factorization.

29385132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95994 (or 95987 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 29385132120 in words is "twenty-nine billion, three hundred eighty-five million, one hundred thirty-two thousand, one hundred twenty".