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29070657000 = 2334537115979
BaseRepresentation
bin11011000100101111…
…110000010111101000
32210000222120101110000
4123010233300113220
5434014042011000
621204353023000
72046253336020
oct330457602750
983028511400
1029070657000
111136869a970
125773854a60
1329839967b8
14159ac50a80
15b52253000
hex6c4bf05e8

29070657000 has 1280 divisors, whose sum is σ = 130470912000. Its totient is φ = 5863104000.

The previous prime is 29070656969. The next prime is 29070657043. The reversal of 29070657000 is 75607092.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 367982961 + ... + 367983039.

It is an arithmetic number, because the mean of its divisors is an integer number (101930400).

Almost surely, 229070657000 is an apocalyptic number.

29070657000 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 29070657000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65235456000).

29070657000 is an abundant number, since it is smaller than the sum of its proper divisors (101400255000).

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

29070657000 is a wasteful number, since it uses less digits than its factorization.

29070657000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 29070657000 in words is "twenty-nine billion, seventy million, six hundred fifty-seven thousand".