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29349000540 = 223654742829
BaseRepresentation
bin11011010101010101…
…100011010101011100
32210202101022201000000
4123111111203111130
5440101321004130
621252134534300
72056203250146
oct332525432534
983671281000
1029349000540
11114a0822552
125830b07390
1329c9551212
1415c5bc7c96
15b6b8d5260
hex6d556355c

29349000540 has 168 divisors, whose sum is σ = 94375391040. Its totient is φ = 7659702144.

The previous prime is 29349000517. The next prime is 29349000553. The reversal of 29349000540 is 4500094392.

29349000540 is a `hidden beast` number, since 29 + 3 + 4 + 90 + 0 + 0 + 540 = 666.

It is a super-2 number, since 2×293490005402 (a number of 22 digits) contains 22 as substring.

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 = 29349000495 and 29349000504.

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 663846 + ... + 706674.

It is an arithmetic number, because the mean of its divisors is an integer number (561758280).

Almost surely, 229349000540 is an apocalyptic number.

29349000540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 171315×171316.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29349000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47187695520).

29349000540 is an abundant number, since it is smaller than the sum of its proper divisors (65026390500).

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

29349000540 is a wasteful number, since it uses less digits than its factorization.

29349000540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42903 (or 42886 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 29349000540 in words is "twenty-nine billion, three hundred forty-nine million, five hundred forty", and thus it is an aban number.