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9999999984 = 24313236411087
BaseRepresentation
bin10010101000000101…
…11110001111110000
3221210220202122002210
421110002332033300
5130434444444414
64332142412120
7502544411622
oct112402761760
927726678083
109999999984
114271814aa7
121b30b91040
13c349ba470
146ac162c12
153d7dace59
hex2540be3f0

9999999984 has 160 divisors (see below), whose sum is σ = 29102137344. Its totient is φ = 2935848960.

The previous prime is 9999999967. The next prime is 10000000019. The reversal of 9999999984 is 4899999999.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 9999999897 and 9999999906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9199089 + ... + 9200175.

Almost surely, 29999999984 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 9999999984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14551068672).

9999999984 is an abundant number, since it is smaller than the sum of its proper divisors (19102137360).

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

9999999984 is a wasteful number, since it uses less digits than its factorization.

9999999984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1769 counting only the distinct ones).

The product of its digits is 1377495072, while the sum is 84.

The square root of 9999999984 is about 99999.9999200000. Note that the first 4 decimals coincide. The cubic root of 9999999984 is about 2154.4346888829.

The spelling of 9999999984 in words is "nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 641 897 1087 1104 1196 1282 1794 1923 2174 2392 2564 3261 3588 3846 4348 4784 5128 6522 7176 7692 8333 8696 10256 13044 14131 14352 14743 15384 16666 17392 24999 25001 26088 28262 29486 30768 33332 42393 44229 49998 50002 52176 56524 58972 66664 75003 84786 88458 99996 100004 113048 117944 133328 150006 169572 176916 191659 199992 200008 226096 235888 300012 325013 339144 353832 383318 399984 400016 574977 600024 650026 678288 696767 707664 766636 975039 1149954 1200048 1300052 1393534 1533272 1950078 2090301 2299908 2600104 2787068 3066544 3900156 4180602 4599816 5200208 5574136 7800312 8361204 9057971 9199632 11148272 15600624 16025641 16722408 18115942 27173913 32051282 33444816 36231884 48076923 54347826 64102564 72463768 96153846 108695652 128205128 144927536 192307692 208333333 217391304 256410256 384615384 416666666 434782608 624999999 769230768 833333332 1249999998 1666666664 2499999996 3333333328 4999999992 9999999984