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45499760000 = 27544712101
BaseRepresentation
bin101010010111111111…
…110011110110000000
311100102221211021220022
4222113333303312000
51221140414310000
632522521433012
73200345402342
oct522777636600
9140387737808
1045499760000
1118329479142
12899993b768
1343a1610c16
1422b8ba1292
1512b475a585
hexa97ff3d80

45499760000 has 160 divisors (see below), whose sum is σ = 115688342880. Its totient is φ = 17811200000.

The previous prime is 45499759999. The next prime is 45499760011. The reversal of 45499760000 is 6799454.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3753950 + ... + 3766050.

It is an arithmetic number, because the mean of its divisors is an integer number (723052143).

Almost surely, 245499760000 is an apocalyptic number.

45499760000 is a gapful number since it is divisible by the number (40) 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 45499760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57844171440).

45499760000 is an abundant number, since it is smaller than the sum of its proper divisors (70188582880).

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

45499760000 is an equidigital number, since it uses as much as digits as its factorization.

45499760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12182 (or 12155 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 45499760000 in words is "forty-five billion, four hundred ninety-nine million, seven hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 125 128 160 188 200 235 250 320 376 400 470 500 625 640 752 800 940 1000 1175 1250 1504 1600 1880 2000 2350 2500 3008 3200 3760 4000 4700 5000 5875 6016 7520 8000 9400 10000 11750 12101 15040 16000 18800 20000 23500 24202 29375 30080 37600 40000 47000 48404 58750 60505 75200 80000 94000 96808 117500 121010 150400 188000 193616 235000 242020 302525 376000 387232 470000 484040 568747 605050 752000 774464 940000 968080 1137494 1210100 1512625 1548928 1880000 1936160 2274988 2420200 2843735 3025250 3760000 3872320 4549976 4840400 5687470 6050500 7563125 7744640 9099952 9680800 11374940 12101000 14218675 15126250 18199904 19361600 22749880 24202000 28437350 30252500 36399808 38723200 45499760 48404000 56874700 60505000 71093375 72799616 90999520 96808000 113749400 121010000 142186750 181999040 193616000 227498800 242020000 284373500 355466875 363998080 454997600 484040000 568747000 710933750 909995200 968080000 1137494000 1421867500 1819990400 2274988000 2843735000 4549976000 5687470000 9099952000 11374940000 22749880000 45499760000