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29203130880 = 293457113159
BaseRepresentation
bin11011001100101001…
…000110101000000000
32210101012211202110000
4123030221012220000
5434302000142010
621225444240000
72052452342160
oct331451065000
983335752400
1029203130880
1111426451510
1257b00a0000
1329a526a301
1415b06965a0
15b5dbbe7c0
hex6cca46a00

29203130880 has 1600 divisors, whose sum is σ = 136894095360. Its totient is φ = 5772902400.

The previous prime is 29203130867. The next prime is 29203130903. The reversal of 29203130880 is 8803130292.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 494968291 + ... + 494968349.

Almost surely, 229203130880 is an apocalyptic number.

29203130880 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 29203130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68447047680).

29203130880 is an abundant number, since it is smaller than the sum of its proper divisors (107690964480).

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

29203130880 is a wasteful number, since it uses less digits than its factorization.

29203130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 29203130880 in words is "twenty-nine billion, two hundred three million, one hundred thirty thousand, eight hundred eighty".