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8991001998 = 23311373131307
BaseRepresentation
bin10000101111110011…
…11100110110001110
3212012121011020002000
420113321330312032
5121403144030443
64044100213130
7435543153546
oct102771746616
925177136060
108991001998
1138a4205970
1218ab09a1a6
13b0394c834
14614152326
153795008d3
hex217e7cd8e

8991001998 has 128 divisors (see below), whose sum is σ = 22474160640. Its totient is φ = 2640418560.

The previous prime is 8991001997. The next prime is 8991002011.

8991001998 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8991001997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6878461 + ... + 6879767.

It is an arithmetic number, because the mean of its divisors is an integer number (175579380).

Almost surely, 28991001998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8991001998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11237080320).

8991001998 is an abundant number, since it is smaller than the sum of its proper divisors (13483158642).

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

8991001998 is a wasteful number, since it uses less digits than its factorization.

8991001998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 54.

The square root of 8991001998 is about 94820.8943113278. The cubic root of 8991001998 is about 2079.3903845575.

The spelling of 8991001998 in words is "eight billion, nine hundred ninety-one million, one thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 198 222 297 313 333 407 594 626 666 814 939 999 1221 1307 1878 1998 2442 2614 2817 3443 3663 3921 5634 6886 7326 7842 8451 10329 10989 11581 11763 14377 16902 20658 21978 23162 23526 28754 30987 34743 35289 43131 48359 61974 69486 70578 86262 92961 96718 104229 127391 129393 145077 185922 208458 254782 258786 290154 312687 382173 388179 409091 435231 531949 625374 764346 776358 818182 870462 1063898 1146519 1227273 1305693 1595847 2293038 2454546 2611386 3191694 3439557 3681819 4500001 4787541 6879114 7363638 9000002 9575082 11045457 13500003 14362623 15136367 22090914 27000006 28725246 30272734 40500009 45409101 81000018 90818202 121500027 136227303 166500037 243000054 272454606 333000074 408681909 499500111 817363818 999000222 1498500333 2997000666 4495500999 8991001998