Search a number
-
+
29929747122 = 2321143372
BaseRepresentation
bin11011110111111100…
…111011001010110010
32212020212002200112200
4123313330323022302
5442244003401442
621425522204030
72106454436652
oct336774731262
985225080480
1029929747122
1111769620000
1259734b3616
132a8c968452
14163cd9c362
15ba289d34c
hex6f7f3b2b2

29929747122 has 90 divisors (see below), whose sum is σ = 71544417165. Its totient is φ = 9042707520.

The previous prime is 29929747109. The next prime is 29929747151. The reversal of 29929747122 is 22174792992.

29929747122 is a `hidden beast` number, since 299 + 297 + 47 + 1 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28247188761 + 1682558361 = 168069^2 + 41019^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=122331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 88812138 + ... + 88812474.

Almost surely, 229929747122 is an apocalyptic number.

29929747122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29929747122

29929747122 is an abundant number, since it is smaller than the sum of its proper divisors (41614670043).

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

29929747122 is an frugal number, since it uses more digits than its factorization.

29929747122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 353 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 29929747122 in words is "twenty-nine billion, nine hundred twenty-nine million, seven hundred forty-seven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 337 363 674 726 1011 1089 1331 2022 2178 2662 3033 3707 3993 6066 7414 7986 11121 11979 14641 22242 23958 29282 33363 40777 43923 66726 81554 87846 113569 122331 131769 227138 244662 263538 340707 366993 448547 681414 733986 897094 1022121 1249259 1345641 2044242 2498518 2691282 3747777 4036923 4934017 7495554 8073846 9868034 11243331 13741849 14802051 22486662 27483698 29604102 41225547 44406153 82451094 88812306 123676641 151160339 247353282 302320678 453481017 906962034 1360443051 1662763729 2720886102 3325527458 4988291187 9976582374 14964873561 29929747122