Search a number
-
+
29067092352 = 27352341991
BaseRepresentation
bin11011000100100010…
…001010000110000000
32210000201212021200000
4123010202022012000
5434012133423402
621204144400000
72046211131324
oct330442120600
983021767600
1029067092352
1111366685781
125772616000
13298301913c
14159a5a3984
15b51c9bc1c
hex6c488a180

29067092352 has 384 divisors, whose sum is σ = 92814059520. Its totient is φ = 9032601600.

The previous prime is 29067092339. The next prime is 29067092363. The reversal of 29067092352 is 25329076092.

It is a happy number.

29067092352 is a `hidden beast` number, since 290 + 6 + 7 + 0 + 9 + 2 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 29067092298 and 29067092307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29330577 + ... + 29331567.

It is an arithmetic number, because the mean of its divisors is an integer number (241703280).

Almost surely, 229067092352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29067092352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46407029760).

29067092352 is an abundant number, since it is smaller than the sum of its proper divisors (63746967168).

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

29067092352 is an equidigital number, since it uses as much as digits as its factorization.

29067092352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 29067092352 in words is "twenty-nine billion, sixty-seven million, ninety-two thousand, three hundred fifty-two".