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10149797000 = 235372949999
BaseRepresentation
bin10010111001111100…
…11001110010001000
3222012100122002222102
421130332121302020
5131241322001000
64355053212532
7506343564620
oct113476316210
928170562872
1010149797000
114339328792
121b73191148
13c59a47b55
146c3dd7880
153e60ec3d5
hex25cf99c88

10149797000 has 128 divisors (see below), whose sum is σ = 28080000000. Its totient is φ = 3359865600.

The previous prime is 10149796991. The next prime is 10149797041. The reversal of 10149797000 is 79794101.

10149797000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 178001 + ... + 227999.

It is an arithmetic number, because the mean of its divisors is an integer number (219375000).

Almost surely, 210149797000 is an apocalyptic number.

10149797000 is a gapful number since it is divisible by the number (10) 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 10149797000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040000000).

10149797000 is an abundant number, since it is smaller than the sum of its proper divisors (17930203000).

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

10149797000 is a wasteful number, since it uses less digits than its factorization.

10149797000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50056 (or 50042 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 38.

The spelling of 10149797000 in words is "ten billion, one hundred forty-nine million, seven hundred ninety-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 116 125 140 145 175 200 203 232 250 280 290 350 406 500 580 700 725 812 875 1000 1015 1160 1400 1450 1624 1750 2030 2900 3500 3625 4060 5075 5800 7000 7250 8120 10150 14500 20300 25375 29000 40600 49999 50750 99998 101500 199996 203000 249995 349993 399992 499990 699986 999980 1249975 1399972 1449971 1749965 1999960 2499950 2799944 2899942 3499930 4999900 5799884 6249875 6999860 7249855 8749825 9999800 10149797 11599768 12499750 13999720 14499710 17499650 20299594 24999500 28999420 34999300 36249275 40599188 43749125 49999000 50748985 57998840 69998600 72498550 81198376 87498250 101497970 144997100 174996500 181246375 202995940 253744925 289994200 349993000 362492750 405991880 507489850 724985500 1014979700 1268724625 1449971000 2029959400 2537449250 5074898500 10149797000