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29500409120 = 2557137128537
BaseRepresentation
bin11011011110010111…
…001000010100100000
32211010221020001112012
4123132113020110200
5440404101042440
621315144052052
72063022224450
oct333627102440
984127201465
1029500409120
1111569237006
125873764028
132a21a242b0
1415dbd5bd60
15b79d41e65
hex6de5c8520

29500409120 has 192 divisors, whose sum is σ = 86989303296. Its totient is φ = 9204572160.

The previous prime is 29500409083. The next prime is 29500409143. The reversal of 29500409120 is 2190400592.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1019492 + ... + 1048028.

It is an arithmetic number, because the mean of its divisors is an integer number (453069288).

Almost surely, 229500409120 is an apocalyptic number.

29500409120 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 29500409120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43494651648).

29500409120 is an abundant number, since it is smaller than the sum of its proper divisors (57488894176).

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

29500409120 is a wasteful number, since it uses less digits than its factorization.

29500409120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28643 (or 28635 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 29500409120 in words is "twenty-nine billion, five hundred million, four hundred nine thousand, one hundred twenty".