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29255195000 = 235423713583
BaseRepresentation
bin11011001111101111…
…101101100101111000
32210111211210212222202
4123033233231211320
5434403312220000
621234544205332
72053654024463
oct331757554570
983454725882
1029255195000
1111452882009
125805609848
1329b2c99095
1415b756a2da
15b63555dd5
hex6cfbed978

29255195000 has 160 divisors (see below), whose sum is σ = 72552775680. Its totient is φ = 11032560000.

The previous prime is 29255194999. The next prime is 29255195009. The reversal of 29255195000 is 59155292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29255195009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8163209 + ... + 8166791.

It is an arithmetic number, because the mean of its divisors is an integer number (453454848).

Almost surely, 229255195000 is an apocalyptic number.

29255195000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29255195000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36276387840).

29255195000 is an abundant number, since it is smaller than the sum of its proper divisors (43297580680).

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

29255195000 is a wasteful number, since it uses less digits than its factorization.

29255195000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 38.

The spelling of 29255195000 in words is "twenty-nine billion, two hundred fifty-five million, one hundred ninety-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 71 92 100 115 125 142 184 200 230 250 284 355 460 500 568 575 625 710 920 1000 1150 1250 1420 1633 1775 2300 2500 2840 2875 3266 3550 3583 4600 5000 5750 6532 7100 7166 8165 8875 11500 13064 14200 14332 14375 16330 17750 17915 23000 28664 28750 32660 35500 35830 40825 44375 57500 65320 71000 71660 81650 82409 88750 89575 115000 143320 163300 164818 177500 179150 204125 254393 326600 329636 355000 358300 408250 412045 447875 508786 659272 716600 816500 824090 895750 1017572 1020625 1271965 1633000 1648180 1791500 2035144 2041250 2060225 2239375 2543930 3296360 3583000 4082500 4120450 4478750 5087860 5851039 6359825 8165000 8240900 8957500 10175720 10301125 11702078 12719650 16481800 17915000 20602250 23404156 25439300 29255195 31799125 41204500 46808312 50878600 51505625 58510390 63598250 82409000 103011250 117020780 127196500 146275975 158995625 206022500 234041560 254393000 292551950 317991250 412045000 585103900 635982500 731379875 1170207800 1271965000 1462759750 2925519500 3656899375 5851039000 7313798750 14627597500 29255195000