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29884872192 = 293712972143
BaseRepresentation
bin11011110101010001…
…101111011000000000
32212010201122210201020
4123311101233120000
5442201011402232
621421240305440
72105401136160
oct336521573000
985121583636
1029884872192
111174625a88a
125960472280
132a83585a36
14163703a5a0
15b9d986e2c
hex6f546f600

29884872192 has 160 divisors (see below), whose sum is σ = 91101407232. Its totient is φ = 8527970304.

The previous prime is 29884872137. The next prime is 29884872217. The reversal of 29884872192 is 29127848892.

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 15 ways as a sum of consecutive naturals, for example, 13944273 + ... + 13946415.

Almost surely, 229884872192 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 29884872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45550703616).

29884872192 is an abundant number, since it is smaller than the sum of its proper divisors (61216535040).

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

29884872192 is a wasteful number, since it uses less digits than its factorization.

29884872192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3452 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 60.

The spelling of 29884872192 in words is "twenty-nine billion, eight hundred eighty-four million, eight hundred seventy-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1297 1344 1536 1792 2143 2594 2688 3584 3891 4286 5188 5376 6429 7782 8572 9079 10376 10752 12858 15001 15564 17144 18158 20752 25716 27237 30002 31128 34288 36316 41504 45003 51432 54474 60004 62256 68576 72632 83008 90006 102864 108948 120008 124512 137152 145264 166016 180012 205728 217896 240016 249024 274304 290528 332032 360024 411456 435792 480032 498048 548608 581056 664064 720048 822912 871584 960064 996096 1097216 1162112 1440096 1645824 1743168 1920128 1992192 2324224 2779471 2880192 3291648 3486336 3840256 4648448 5558942 5760384 6972672 7680512 8338413 11117884 11520768 13945344 16676826 19456297 22235768 23041536 33353652 38912594 44471536 58368891 66707304 77825188 88943072 116737782 133414608 155650376 177886144 233475564 266829216 311300752 355772288 466951128 533658432 622601504 711544576 933902256 1067316864 1245203008 1423089152 1867804512 2134633728 2490406016 3735609024 4269267456 4980812032 7471218048 9961624064 14942436096 29884872192