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199964000000 = 285649991
BaseRepresentation
bin1011101000111011001…
…0000111111100000000
3201010010211112200210002
42322032302013330000
511234011241000000
6231510122255132
720306202645512
oct2721662077400
9633124480702
10199964000000
1177893512936
12329076574a8
1315b19a261bb
14996d3cdbb2
1553052128d5
hex2e8ec87f00

199964000000 has 126 divisors (see below), whose sum is σ = 498937207272. Its totient is φ = 79984000000.

The previous prime is 199963999951. The next prime is 199964000009. The reversal of 199964000000 is 469991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199964000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3975005 + ... + 4024995.

Almost surely, 2199964000000 is an apocalyptic number.

199964000000 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 199964000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249468603636).

199964000000 is an abundant number, since it is smaller than the sum of its proper divisors (298973207272).

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

199964000000 is an frugal number, since it uses more digits than its factorization.

199964000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50037 (or 49998 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

Adding to 199964000000 its reverse (469991), we get a palindrome (199964469991).

The spelling of 199964000000 in words is "one hundred ninety-nine billion, nine hundred sixty-four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 49991 50000 62500 80000 99982 100000 125000 160000 199964 200000 249955 250000 399928 400000 499910 500000 799856 800000 999820 1000000 1249775 1599712 1999640 2000000 2499550 3199424 3999280 4000000 4999100 6248875 6398848 7998560 9998200 12497750 12797696 15997120 19996400 24995500 31244375 31994240 39992800 49991000 62488750 63988480 79985600 99982000 124977500 156221875 159971200 199964000 249955000 312443750 319942400 399928000 499910000 624887500 781109375 799856000 999820000 1249775000 1562218750 1599712000 1999640000 2499550000 3124437500 3999280000 4999100000 6248875000 7998560000 9998200000 12497750000 19996400000 24995500000 39992800000 49991000000 99982000000 199964000000