Search a number
-
+
29731429080 = 233555357713
BaseRepresentation
bin11011101100001000…
…011001101011011000
32211202000221002100000
4123230020121223120
5441342221212310
621354115413000
72101525656153
oct335410315330
984660832300
1029731429080
11116776867a1
125918bb4160
132a5a84c8b2
1416208d6c9a
15b902774c0
hex6ec219ad8

29731429080 has 192 divisors, whose sum is σ = 102098374560. Its totient is φ = 7778654208.

The previous prime is 29731429073. The next prime is 29731429099. The reversal of 29731429080 is 8092413792.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 486304 + ... + 544016.

Almost surely, 229731429080 is an apocalyptic number.

29731429080 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 29731429080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51049187280).

29731429080 is an abundant number, since it is smaller than the sum of its proper divisors (72366945480).

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

29731429080 is a wasteful number, since it uses less digits than its factorization.

29731429080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57792 (or 57776 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 29731429080 in words is "twenty-nine billion, seven hundred thirty-one million, four hundred twenty-nine thousand, eighty".