Search a number
-
+
29203892928 = 263474717123
BaseRepresentation
bin11011001100101100…
…000000101011000000
32210101021021110210000
4123030230000223000
5434302144033203
621225512440000
72052461664660
oct331454005300
983337243700
1029203892928
1111426922001
1257b03a9000
1329a5476122
1415b08141a0
15b5dcc04a3
hex6ccb00ac0

29203892928 has 280 divisors, whose sum is σ = 101047491072. Its totient is φ = 8165961216.

The previous prime is 29203892899. The next prime is 29203892941. The reversal of 29203892928 is 82929830292.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1696975 + ... + 1714097.

Almost surely, 229203892928 is an apocalyptic number.

29203892928 is a gapful number since it is divisible by the number (28) 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 29203892928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50523745536).

29203892928 is an abundant number, since it is smaller than the sum of its proper divisors (71843598144).

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

29203892928 is a wasteful number, since it uses less digits than its factorization.

29203892928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17201 (or 17182 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 29203892928 in words is "twenty-nine billion, two hundred three million, eight hundred ninety-two thousand, nine hundred twenty-eight".