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29861430172 = 2271741132
BaseRepresentation
bin11011110011111000…
…010100001110011100
32212002002112211022021
4123303320110032130
5442124011231142
621415042025524
72104664653120
oct336370241634
985062484267
1029861430172
1111733aa9512
1259546482a4
132a7b768a12
141633c97580
15b9b8a6267
hex6f3e1439c

29861430172 has 90 divisors (see below), whose sum is σ = 64022016968. Its totient is φ = 11938354176.

The previous prime is 29861430163. The next prime is 29861430191. The reversal of 29861430172 is 27103416892.

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 29 ways as a sum of consecutive naturals, for example, 264260388 + ... + 264260500.

Almost surely, 229861430172 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 29861430172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32011008484).

29861430172 is an abundant number, since it is smaller than the sum of its proper divisors (34160586796).

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

29861430172 is an frugal number, since it uses more digits than its factorization.

29861430172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 29861430172 in words is "twenty-nine billion, eight hundred sixty-one million, four hundred thirty thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 17 28 34 68 113 119 226 238 289 452 476 578 791 1156 1582 1921 2023 3164 3842 4046 4913 7684 8092 9826 12769 13447 19652 25538 26894 32657 34391 51076 53788 65314 68782 83521 89383 130628 137564 167042 178766 217073 228599 334084 357532 434146 457198 555169 584647 868292 914396 1110338 1169294 1519511 2220676 2338588 3039022 3690241 3886183 6078044 7380482 7772366 9437873 14760964 15544732 18875746 25831687 37751492 51663374 62734097 66065111 103326748 125468194 132130222 250936388 264260444 439138679 878277358 1066479649 1756554716 2132959298 4265918596 7465357543 14930715086 29861430172