Search a number
-
+
998635769856 = 2123234977621
BaseRepresentation
bin11101000100000110101…
…01001001000000000000
310112110122122101100112200
432202003111021000000
5112330201224113411
62042433354153200
7132102060662454
oct16420325110000
93473578340480
10998635769856
1135557894866a
12141661122800
137322b76237a
14364971a6664
151ae9bad9e56
hexe883549000

998635769856 has 156 divisors (see below), whose sum is σ = 2892898199100. Its totient is φ = 331920506880.

The previous prime is 998635769851. The next prime is 998635769863. The reversal of 998635769856 is 658967536899.

It can be written as a sum of positive squares in 2 ways, for example, as 694355558400 + 304280211456 = 833280^2 + 551616^2 .

It is not an unprimeable number, because it can be changed into a prime (998635769851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12826726 + ... + 12904346.

It is an arithmetic number, because the mean of its divisors is an integer number (18544219225).

Almost surely, 2998635769856 is an apocalyptic number.

998635769856 is a gapful number since it is divisible by the number (96) 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 998635769856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446449099550).

998635769856 is an abundant number, since it is smaller than the sum of its proper divisors (1894262429244).

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

998635769856 is a wasteful number, since it uses less digits than its factorization.

998635769856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78000 (or 77975 counting only the distinct ones).

The product of its digits is 5290790400, while the sum is 81.

The spelling of 998635769856 in words is "nine hundred ninety-eight billion, six hundred thirty-five million, seven hundred sixty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 349 384 512 576 698 768 1024 1047 1152 1396 1536 2048 2094 2304 2792 3072 3141 4096 4188 4608 5584 6144 6282 8376 9216 11168 12288 12564 16752 18432 22336 25128 33504 36864 44672 50256 67008 77621 89344 100512 134016 155242 178688 201024 232863 268032 310484 357376 402048 465726 536064 620968 698589 714752 804096 931452 1072128 1241936 1397178 1429504 1608192 1862904 2144256 2483872 2794356 3216384 3725808 4288512 4967744 5588712 6432768 7451616 9935488 11177424 12865536 14903232 19870976 22354848 27089729 29806464 39741952 44709696 54179458 59612928 79483904 81269187 89419392 108358916 119225856 158967808 162538374 178838784 216717832 238451712 243807561 317935616 325076748 357677568 433435664 476903424 487615122 650153496 715355136 866871328 953806848 975230244 1300306992 1430710272 1733742656 1950460488 2600613984 2861420544 3467485312 3900920976 5201227968 6934970624 7801841952 10402455936 13869941248 15603683904 20804911872 27739882496 31207367808 41609823744 55479764992 62414735616 83219647488 110959529984 124829471232 166439294976 249658942464 332878589952 499317884928 998635769856