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29500381440 = 283452389139
BaseRepresentation
bin11011011110010111…
…000001100100000000
32211010221011122120000
4123132113001210000
5440404044201230
621315143320000
72063022050655
oct333627014400
984127148500
1029500381440
1111569218232
125873750000
132a21a1480a
1415dbd51c2c
15b79d38b60
hex6de5c1900

29500381440 has 720 divisors, whose sum is σ = 112186166400. Its totient is φ = 7386660864.

The previous prime is 29500381439. The next prime is 29500381447. The reversal of 29500381440 is 4418300592.

29500381440 is a `hidden beast` number, since 2 + 9 + 500 + 3 + 8 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 29500381395 and 29500381404.

It is not an unprimeable number, because it can be changed into a prime (29500381447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 212232891 + ... + 212233029.

It is an arithmetic number, because the mean of its divisors is an integer number (155814120).

Almost surely, 229500381440 is an apocalyptic number.

29500381440 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 29500381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56093083200).

29500381440 is an abundant number, since it is smaller than the sum of its proper divisors (82685784960).

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

29500381440 is a wasteful number, since it uses less digits than its factorization.

29500381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 29500381440 in words is "twenty-nine billion, five hundred million, three hundred eighty-one thousand, four hundred forty".