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29218590000 = 243354108217
BaseRepresentation
bin11011001101100100…
…000100110100110000
32210102021221011101000
4123031210010310300
5434314424340000
621231155442000
72053030626405
oct331544046460
983367834330
1029218590000
1111434150146
1257b52b6300
1329a8520912
1415b275c2ac
15b60225000
hex6cd904d30

29218590000 has 200 divisors, whose sum is σ = 104802639920. Its totient is φ = 7791552000.

The previous prime is 29218589989. The next prime is 29218590007. The reversal of 29218590000 is 9581292.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is not an unprimeable number, because it can be changed into a prime (29218590007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 215892 + ... + 324108.

Almost surely, 229218590000 is an apocalyptic number.

29218590000 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 29218590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52401319960).

29218590000 is an abundant number, since it is smaller than the sum of its proper divisors (75584049920).

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

29218590000 is a wasteful number, since it uses less digits than its factorization.

29218590000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108254 (or 108227 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 29218590000 in words is "twenty-nine billion, two hundred eighteen million, five hundred ninety thousand".