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29809190268 = 223311131930147
BaseRepresentation
bin11011110000110001…
…000010010101111100
32211221110020202122000
4123300301002111330
5442022123042033
621405534222300
72103461636154
oct336061022574
984843222560
1029809190268
1111707568940
12593b054990
132a709a7c30
14162ad79764
15b96ed7a13
hex6f0c4257c

29809190268 has 96 divisors (see below), whose sum is σ = 90794161920. Its totient is φ = 8338230720.

The previous prime is 29809190251. The next prime is 29809190291. The reversal of 29809190268 is 86209190892.

29809190268 is a `hidden beast` number, since 298 + 0 + 9 + 1 + 90 + 268 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 949630 + ... + 980517.

It is an arithmetic number, because the mean of its divisors is an integer number (945772520).

Almost surely, 229809190268 is an apocalyptic number.

It is an amenable number.

29809190268 is an abundant number, since it is smaller than the sum of its proper divisors (60984971652).

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

29809190268 is a wasteful number, since it uses less digits than its factorization.

29809190268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930184 (or 1930176 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 29809190268 in words is "twenty-nine billion, eight hundred nine million, one hundred ninety thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 7722 15444 1930147 3860294 5790441 7720588 11580882 17371323 21231617 23161764 25091911 34742646 42463234 50183822 52113969 63694851 69485292 75275733 84926468 100367644 104227938 127389702 150551466 191084553 208455876 225827199 254779404 276011021 301102932 382169106 451654398 552022042 573253659 677481597 764338212 828033063 903308796 1104044084 1146507318 1354963194 1656066126 2293014636 2484099189 2709926388 3312132252 4968198378 7452297567 9936396756 14904595134 29809190268