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29689219980 = 2235571137723
BaseRepresentation
bin11011101001100111…
…011000101110001100
32211122002111122100000
4123221213120232030
5441300420014410
621350011004300
72100504130440
oct335147305614
984562448300
1029689219980
1111655877442
125906a39690
132a51b916b4
14161906a820
15b8b6dadc0
hex6e99d8b8c

29689219980 has 288 divisors, whose sum is σ = 107693074944. Its totient is φ = 6725182464.

The previous prime is 29689219921. The next prime is 29689219991. The reversal of 29689219980 is 8991298692.

29689219980 is a `hidden beast` number, since 296 + 89 + 2 + 199 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3840399 + ... + 3848121.

It is an arithmetic number, because the mean of its divisors is an integer number (373934288).

Almost surely, 229689219980 is an apocalyptic number.

29689219980 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 29689219980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53846537472).

29689219980 is an abundant number, since it is smaller than the sum of its proper divisors (78003854964).

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

29689219980 is a wasteful number, since it uses less digits than its factorization.

29689219980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7867 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

It can be divided in two parts, 29 and 689219980, that added together give a square (689220009 = 262532).

The spelling of 29689219980 in words is "twenty-nine billion, six hundred eighty-nine million, two hundred nineteen thousand, nine hundred eighty".