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29147628048 = 24372112236173
BaseRepresentation
bin11011001001010101…
…011000001000010000
32210020100101220212120
4123021111120020100
5434143243044143
621220142454240
72051206515300
oct331125301020
983210356776
1029147628048
11113a8092400
125795594380
1329969062b6
1415a7169600
15b58da9383
hex6c9558210

29147628048 has 720 divisors, whose sum is σ = 103510124928. Its totient is φ = 7025356800.

The previous prime is 29147628019. The next prime is 29147628061. The reversal of 29147628048 is 84082674192.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 399282540 + ... + 399282612.

Almost surely, 229147628048 is an apocalyptic number.

29147628048 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 29147628048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51755062464).

29147628048 is an abundant number, since it is smaller than the sum of its proper divisors (74362496880).

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

29147628048 is a wasteful number, since it uses less digits than its factorization.

29147628048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 29147628048 in words is "twenty-nine billion, one hundred forty-seven million, six hundred twenty-eight thousand, forty-eight".