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998565000200 = 235231353345587
BaseRepresentation
bin11101000011111110001…
…11001011010000001000
310112110110201012212211022
432201333013023100020
5112330030120001300
62042422345252012
7132100241312105
oct16417707132010
93473421185738
10998565000200
11355541a01349
12141641494008
1373219bb4431
143648ba23aac
151ae957ab285
hexe87f1cb408

998565000200 has 96 divisors (see below), whose sum is σ = 2397286920960. Its totient is φ = 386423404800.

The previous prime is 998565000197. The next prime is 998565000227. The reversal of 998565000200 is 2000565899.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21881807 + ... + 21927393.

It is an arithmetic number, because the mean of its divisors is an integer number (24971738760).

Almost surely, 2998565000200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998565000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198643460480).

998565000200 is an abundant number, since it is smaller than the sum of its proper divisors (1398721920760).

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

998565000200 is a wasteful number, since it uses less digits than its factorization.

998565000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49167 (or 49158 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 44.

The spelling of 998565000200 in words is "nine hundred ninety-eight billion, five hundred sixty-five million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 3533 6200 7066 14132 17665 28264 35330 45587 70660 88325 91174 109523 141320 176650 182348 219046 227935 353300 364696 438092 455870 547615 706600 876184 911740 1095230 1139675 1413197 1823480 2190460 2279350 2738075 2826394 4380920 4558700 5476150 5652788 7065985 9117400 10952300 11305576 14131970 21904600 28263940 35329925 56527880 70659850 141319700 161058871 282639400 322117742 644235484 805294355 1288470968 1610588710 3221177420 4026471775 4992825001 6442354840 8052943550 9985650002 16105887100 19971300004 24964125005 32211774200 39942600008 49928250010 99856500020 124820625025 199713000040 249641250050 499282500100 998565000200