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29899192212 = 223229376112689
BaseRepresentation
bin11011110110001000…
…010111011110010100
32212011201121100002100
4123312020113132110
5442213143122322
621422511242100
72105633640411
oct336610273624
985151540070
1029899192212
111175335070a
125965219330
132a8652aa16
141638cc7108
15b9ed64dac
hex6f6217794

29899192212 has 144 divisors (see below), whose sum is σ = 81620557200. Its totient is φ = 9208442880.

The previous prime is 29899192199. The next prime is 29899192261. The reversal of 29899192212 is 21229199892.

It can be written as a sum of positive squares in 8 ways, for example, as 2358462096 + 27540730116 = 48564^2 + 165954^2 .

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 47 ways as a sum of consecutive naturals, for example, 2349964 + ... + 2362652.

It is an arithmetic number, because the mean of its divisors is an integer number (566809425).

Almost surely, 229899192212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29899192212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40810278600).

29899192212 is an abundant number, since it is smaller than the sum of its proper divisors (51721364988).

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

29899192212 is a wasteful number, since it uses less digits than its factorization.

29899192212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12826 (or 12821 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

It can be divided in two parts, 29899 and 192212, that added together give a triangular number (222111 = T666).

The spelling of 29899192212 in words is "twenty-nine billion, eight hundred ninety-nine million, one hundred ninety-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 61 74 87 111 116 122 148 174 183 222 244 261 333 348 366 444 522 549 666 732 1044 1073 1098 1332 1769 2146 2196 2257 3219 3538 4292 4514 5307 6438 6771 7076 9028 9657 10614 12689 12876 13542 15921 19314 20313 21228 25378 27084 31842 38067 38628 40626 50756 63684 65453 76134 81252 114201 130906 152268 196359 228402 261812 367981 392718 456804 469493 589077 735962 774029 785436 938986 1103943 1178154 1408479 1471924 1548058 1877972 2207886 2322087 2356308 2816958 3096116 3311829 4225437 4415772 4644174 5633916 6623658 6966261 8450874 9288348 13247316 13615297 13932522 16901748 22446841 27230594 27865044 28639073 40845891 44893682 54461188 57278146 67340523 81691782 85917219 89787364 114556292 122537673 134681046 163383564 171834438 202021569 245075346 257751657 269362092 343668876 404043138 490150692 515503314 808086276 830533117 1031006628 1661066234 2491599351 3322132468 4983198702 7474798053 9966397404 14949596106 29899192212