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1998187008 = 29323163347
BaseRepresentation
bin111011100011001…
…1110101000000000
312011020221102021020
41313012132220000
513043013441013
6530140025440
7100342211046
oct16706365000
95136842236
101998187008
11935a19524
12479232280
1325ac9109c
1414d546396
15ba655623
hex7719ea00

1998187008 has 160 divisors (see below), whose sum is σ = 5604926976. Its totient is φ = 631369728.

The previous prime is 1998187001. The next prime is 1998187013. The reversal of 1998187008 is 8007818991.

It is not an unprimeable number, because it can be changed into a prime (1998187001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5758291 + ... + 5758637.

Almost surely, 21998187008 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 1998187008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802463488).

1998187008 is an abundant number, since it is smaller than the sum of its proper divisors (3606739968).

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

1998187008 is a wasteful number, since it uses less digits than its factorization.

1998187008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 51.

The square root of 1998187008 is about 44701.0850875010. The cubic root of 1998187008 is about 1259.5402303372.

The spelling of 1998187008 in words is "one billion, nine hundred ninety-eight million, one hundred eighty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 163 184 192 256 276 326 347 368 384 489 512 552 652 694 736 768 978 1041 1104 1304 1388 1472 1536 1956 2082 2208 2608 2776 2944 3749 3912 4164 4416 5216 5552 5888 7498 7824 7981 8328 8832 10432 11104 11247 11776 14996 15648 15962 16656 17664 20864 22208 22494 23943 29992 31296 31924 33312 35328 41728 44416 44988 47886 56561 59984 62592 63848 66624 83456 88832 89976 95772 113122 119968 125184 127696 133248 169683 177664 179952 191544 226244 239936 250368 255392 266496 339366 359904 383088 452488 479872 510784 532992 678732 719808 766176 904976 959744 1021568 1300903 1357464 1439616 1532352 1809952 1919488 2043136 2601806 2714928 2879232 3064704 3619904 3902709 4086272 5203612 5429856 5758464 6129408 7239808 7805418 10407224 10859712 12258816 14479616 15610836 20814448 21719424 28959232 31221672 41628896 43438848 62443344 83257792 86877696 124886688 166515584 249773376 333031168 499546752 666062336 999093504 1998187008