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29075945112 = 23331372334217
BaseRepresentation
bin11011000101000011…
…111011011010011000
32210001100112001101000
4123011003323122120
5434021420220422
621205102225000
72046346312164
oct330503733230
983040461330
1029075945112
1111370681a05
125775585160
132984ac8766
14159b829ca4
15b52949cac
hex6c50fb698

29075945112 has 128 divisors (see below), whose sum is σ = 81724593600. Its totient is φ = 9577672704.

The previous prime is 29075945083. The next prime is 29075945149. The reversal of 29075945112 is 21154957092.

29075945112 is a `hidden beast` number, since 2 + 9 + 0 + 7 + 594 + 51 + 1 + 2 = 666.

It is a super-3 number, since 3×290759451123 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6892828 + ... + 6897044.

Almost surely, 229075945112 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 29075945112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40862296800).

29075945112 is an abundant number, since it is smaller than the sum of its proper divisors (52648648488).

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

29075945112 is a wasteful number, since it uses less digits than its factorization.

29075945112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 4592 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 29075945112 in words is "twenty-nine billion, seventy-five million, nine hundred forty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 137 216 233 274 411 466 548 699 822 932 1096 1233 1398 1644 1864 2097 2466 2796 3288 3699 4194 4217 4932 5592 6291 7398 8388 8434 9864 12582 12651 14796 16776 16868 25164 25302 29592 31921 33736 37953 50328 50604 63842 75906 95763 101208 113859 127684 151812 191526 227718 255368 287289 303624 383052 455436 574578 577729 766104 861867 910872 982561 1149156 1155458 1723734 1733187 1965122 2298312 2310916 2947683 3447468 3466374 3930244 4621832 5199561 5895366 6894936 6932748 7860488 8843049 10399122 11790732 13865496 15598683 17686098 20798244 23581464 26529147 31197366 35372196 41596488 53058294 62394732 70744392 106116588 124789464 134610857 212233176 269221714 403832571 538443428 807665142 1076886856 1211497713 1615330284 2422995426 3230660568 3634493139 4845990852 7268986278 9691981704 14537972556 29075945112