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29074140000 = 253454131137
BaseRepresentation
bin11011000100111101…
…000010101101100000
32210001020010100020000
4123010331002231200
5434020434440000
621204555420000
72046325053363
oct330475025540
983036110200
1029074140000
111136a659784
125774a54600
132984615c49
14159b4ba0da
15b526e0000
hex6c4f42b60

29074140000 has 600 divisors, whose sum is σ = 108450103608. Its totient is φ = 7637760000.

The previous prime is 29074139971. The next prime is 29074140019. The reversal of 29074140000 is 4147092.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 212219932 + ... + 212220068.

Almost surely, 229074140000 is an apocalyptic number.

29074140000 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 29074140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54225051804).

29074140000 is an abundant number, since it is smaller than the sum of its proper divisors (79375963608).

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

29074140000 is a wasteful number, since it uses less digits than its factorization.

29074140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 29074140000 its reverse (4147092), we get a palindrome (29078287092).

The spelling of 29074140000 in words is "twenty-nine billion, seventy-four million, one hundred forty thousand".