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989401605984 = 2532111916437427
BaseRepresentation
bin11100110010111001110…
…11100110011101100000
310111120211002200020002100
432121130323212131200
5112202243302342414
62034305210050400
7131324202614061
oct16313473463540
93446732606070
10989401605984
1135166a45a680
1213b904719a00
13723b962578c
1435c5ca38568
151ab0b0a6609
hexe65cee6760

989401605984 has 144 divisors (see below), whose sum is σ = 3230940847680. Its totient is φ = 284038721280.

The previous prime is 989401605979. The next prime is 989401606031. The reversal of 989401605984 is 489506104989.

989401605984 is a `hidden beast` number, since 9 + 89 + 401 + 60 + 5 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8158522 + ... + 8278905.

It is an arithmetic number, because the mean of its divisors is an integer number (22437089220).

Almost surely, 2989401605984 is an apocalyptic number.

It is an amenable number.

989401605984 is an abundant number, since it is smaller than the sum of its proper divisors (2241539241696).

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

989401605984 is a wasteful number, since it uses less digits than its factorization.

989401605984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16437473 (or 16437462 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 989401605984 in words is "nine hundred eighty-nine billion, four hundred one million, six hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 342 352 396 418 456 528 608 627 684 792 836 912 1056 1254 1368 1584 1672 1824 1881 2508 2736 3168 3344 3762 5016 5472 6688 7524 10032 15048 20064 30096 60192 16437427 32874854 49312281 65749708 98624562 131499416 147936843 180811697 197249124 262998832 295873686 312311113 361623394 394498248 525997664 542435091 591747372 624622226 723246788 788996496 936933339 1084870182 1183494744 1249244452 1446493576 1577992992 1627305273 1873866678 2169740364 2366989488 2498488904 2810800017 2892987152 3254610546 3435422243 3747733356 4339480728 4733978976 4996977808 5621600034 5785974304 6509221092 6870844486 7495466712 8678961456 9993955616 10306266729 11243200068 13018442184 13741688972 14990933424 17357922912 20612533458 22486400136 26036884368 27483377944 29981866848 30918800187 41225066916 44972800272 52073768736 54966755888 61837600374 82450133832 89945600544 109933511776 123675200748 164900267664 247350401496 329800535328 494700802992 989401605984