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29121609888 = 253574113049
BaseRepresentation
bin11011000111110010…
…001000000010100000
32210011112110001200000
4123013302020002200
5434120113004023
621213413100000
72050442412510
oct330762100240
983145401600
1029121609888
1111394431598
125788927600
1329913c6837
1415a3915840
15b5696a243
hex6c7c880a0

29121609888 has 288 divisors, whose sum is σ = 100552233600. Its totient is φ = 8116899840.

The previous prime is 29121609883. The next prime is 29121609941. The reversal of 29121609888 is 88890612192.

29121609888 is a `hidden beast` number, since 2 + 9 + 1 + 21 + 609 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (29121609883) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2225188 + ... + 2238236.

It is an arithmetic number, because the mean of its divisors is an integer number (349139700).

Almost surely, 229121609888 is an apocalyptic number.

29121609888 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 29121609888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50276116800).

29121609888 is an abundant number, since it is smaller than the sum of its proper divisors (71430623712).

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

29121609888 is a wasteful number, since it uses less digits than its factorization.

29121609888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13122 (or 13102 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 29121609888 in words is "twenty-nine billion, one hundred twenty-one million, six hundred nine thousand, eight hundred eighty-eight".