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29429602020 = 223457131711743
BaseRepresentation
bin11011011010001001…
…000001011011100100
32210221222222200110000
4123122021001123210
5440232434231040
621304134301300
72061202326660
oct333211013344
983858880400
1029429602020
1111532274645
125853ab7830
132a101622c0
1415d27a98a0
15b73a07130
hex6da2416e4

29429602020 has 480 divisors, whose sum is σ = 120320944128. Its totient is φ = 5843570688.

The previous prime is 29429602001. The next prime is 29429602021. The reversal of 29429602020 is 2020692492.

It is a happy number.

29429602020 is a `hidden beast` number, since 2 + 9 + 4 + 29 + 602 + 0 + 20 = 666.

It is a super-2 number, since 2×294296020202 (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 not an unprimeable number, because it can be changed into a prime (29429602021) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2500269 + ... + 2512011.

Almost surely, 229429602020 is an apocalyptic number.

29429602020 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 29429602020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60160472064).

29429602020 is an abundant number, since it is smaller than the sum of its proper divisors (90891342108).

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

29429602020 is a wasteful number, since it uses less digits than its factorization.

29429602020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11801 (or 11790 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 29429602020 in words is "twenty-nine billion, four hundred twenty-nine million, six hundred two thousand, twenty".