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73889900000 = 25557105557
BaseRepresentation
bin100010011010000101…
…1100110010111100000
321001201111212211111222
41010310023212113200
52202311303300000
653540004554212
75224026533660
oct1046413462740
9231644784458
1073889900000
1129377a16564
12123a16b2968
136c772ca327
14380d4aa1a0
151dc6d88a85
hex11342e65e0

73889900000 has 144 divisors (see below), whose sum is σ = 207804012192. Its totient is φ = 25333440000.

The previous prime is 73889899969. The next prime is 73889900009. The reversal of 73889900000 is 998837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73889900009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647222 + ... + 752778.

It is an arithmetic number, because the mean of its divisors is an integer number (1443083418).

Almost surely, 273889900000 is an apocalyptic number.

73889900000 is a gapful number since it is divisible by the number (70) 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 73889900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103902006096).

73889900000 is an abundant number, since it is smaller than the sum of its proper divisors (133914112192).

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

73889900000 is an equidigital number, since it uses as much as digits as its factorization.

73889900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105599 (or 105571 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The spelling of 73889900000 in words is "seventy-three billion, eight hundred eighty-nine million, nine hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3125 3500 4000 4375 5000 5600 6250 7000 8750 10000 12500 14000 17500 20000 21875 25000 28000 35000 43750 50000 70000 87500 100000 105557 140000 175000 211114 350000 422228 527785 700000 738899 844456 1055570 1477798 1688912 2111140 2638925 2955596 3377824 3694495 4222280 5277850 5911192 7388990 8444560 10555700 11822384 13194625 14777980 16889120 18472475 21111400 23644768 26389250 29555960 36944950 42222800 52778500 59111920 65973125 73889900 84445600 92362375 105557000 118223840 131946250 147779800 184724750 211114000 263892500 295559600 329865625 369449500 422228000 461811875 527785000 591119200 659731250 738899000 923623750 1055570000 1319462500 1477798000 1847247500 2111140000 2309059375 2638925000 2955596000 3694495000 4618118750 5277850000 7388990000 9236237500 10555700000 14777980000 18472475000 36944950000 73889900000