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29924133228 = 22321141244953
BaseRepresentation
bin11011110111100111…
…100000100101101100
32212020110112110201200
4123313213200211230
5442241034230403
621425202005500
72106355635633
oct336747404554
985213473650
1029924133228
1111766436220
125971646890
132a8b751112
14163c33a51a
15ba213eca3
hex6f79e096c

29924133228 has 108 divisors (see below), whose sum is σ = 84581670264. Its totient is φ = 8846553600.

The previous prime is 29924133149. The next prime is 29924133287. The reversal of 29924133228 is 82233142992.

29924133228 is a `hidden beast` number, since 2 + 9 + 9 + 2 + 413 + 3 + 228 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 643200 + ... + 688152.

Almost surely, 229924133228 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 29924133228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42290835132).

29924133228 is an abundant number, since it is smaller than the sum of its proper divisors (54657537036).

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

29924133228 is a wasteful number, since it uses less digits than its factorization.

29924133228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45056 (or 45010 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 29924133228 in words is "twenty-nine billion, nine hundred twenty-four million, one hundred thirty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1681 1804 2706 3362 4059 5043 5412 6724 8118 10086 15129 16236 18491 20172 30258 36982 44953 55473 60516 73964 89906 110946 134859 166419 179812 221892 269718 332838 404577 494483 539436 665676 809154 988966 1483449 1618308 1843073 1977932 2966898 3686146 4450347 5529219 5933796 7372292 8900694 11058438 16587657 17801388 20273803 22116876 33175314 40547606 60821409 66350628 75565993 81095212 121642818 151131986 182464227 226697979 243285636 302263972 364928454 453395958 680093937 729856908 831225923 906791916 1360187874 1662451846 2493677769 2720375748 3324903692 4987355538 7481033307 9974711076 14962066614 29924133228