Search a number
-
+
59497940000 = 255419715101
BaseRepresentation
bin110111011010010110…
…101000010000100000
312200120111212111220102
4313122112220100200
51433322433040000
643155531201532
74204262100632
oct673226502040
9180514774812
1059497940000
1123262043a44
12b6458a62a8
1357c2733575
142c45d22a52
15183362e3d5
hexdda5a8420

59497940000 has 120 divisors (see below), whose sum is σ = 147126613788. Its totient is φ = 23676800000.

The previous prime is 59497939967. The next prime is 59497940017. The reversal of 59497940000 is 4979495.

It can be written as a sum of positive squares in 10 ways, for example, as 1819193104 + 57678746896 = 42652^2 + 240164^2 .

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, 3932450 + ... + 3947550.

Almost surely, 259497940000 is an apocalyptic number.

59497940000 is a gapful number since it is divisible by the number (50) 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 59497940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73563306894).

59497940000 is an abundant number, since it is smaller than the sum of its proper divisors (87628673788).

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

59497940000 is a wasteful number, since it uses less digits than its factorization.

59497940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15328 (or 15305 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The spelling of 59497940000 in words is "fifty-nine billion, four hundred ninety-seven million, nine hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 197 200 250 394 400 500 625 788 800 985 1000 1250 1576 1970 2000 2500 3152 3940 4000 4925 5000 6304 7880 9850 10000 15101 15760 19700 20000 24625 30202 31520 39400 49250 60404 75505 78800 98500 120808 123125 151010 157600 197000 241616 246250 302020 377525 394000 483232 492500 604040 755050 788000 985000 1208080 1510100 1887625 1970000 2416160 2974897 3020200 3775250 3940000 5949794 6040400 7550500 9438125 11899588 12080800 14874485 15101000 18876250 23799176 29748970 30202000 37752500 47598352 59497940 60404000 74372425 75505000 95196704 118995880 148744850 151010000 237991760 297489700 302020000 371862125 475983520 594979400 743724250 1189958800 1487448500 1859310625 2379917600 2974897000 3718621250 5949794000 7437242500 11899588000 14874485000 29748970000 59497940000