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29014207900 = 22522326214813
BaseRepresentation
bin11011000001011000…
…011010110110011100
32202220001100110211121
4123001120122312130
5433410114123100
621155015100324
72044666461256
oct330130326634
982801313747
1029014207900
1111339844917
1257589716a4
132975090b72
141593558cd6
15b4c30251a
hex6c161ad9c

29014207900 has 72 divisors (see below), whose sum is σ = 65736980064. Its totient is φ = 11094547200.

The previous prime is 29014207891. The next prime is 29014207907. The reversal of 29014207900 is 970241092.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29014207907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6025894 + ... + 6030706.

It is an arithmetic number, because the mean of its divisors is an integer number (913013612).

Almost surely, 229014207900 is an apocalyptic number.

29014207900 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 29014207900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32868490032).

29014207900 is an abundant number, since it is smaller than the sum of its proper divisors (36722772164).

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

29014207900 is a wasteful number, since it uses less digits than its factorization.

29014207900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7471 (or 7464 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

Adding to 29014207900 its reverse (970241092), we get a palindrome (29984448992).

The spelling of 29014207900 in words is "twenty-nine billion, fourteen million, two hundred seven thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 2621 4813 5242 9626 10484 13105 19252 24065 26210 48130 52420 60283 65525 96260 110699 120325 120566 131050 221398 240650 241132 262100 301415 442796 481300 553495 602830 1106990 1205660 1507075 2213980 2767475 3014150 5534950 6028300 11069900 12614873 25229746 50459492 63074365 126148730 252297460 290142079 315371825 580284158 630743650 1160568316 1261487300 1450710395 2901420790 5802841580 7253551975 14507103950 29014207900