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14499561984 = 293291631997
BaseRepresentation
bin11011000000011110…
…11100001000000000
31101102111111001210020
431200033130020000
5214143341440414
610354435533440
71022212146315
oct154017341000
941374431706
1014499561984
116170696586
122987a5a280
1314a0c6c79b
149b7996d0c
1559ce117a9
hex3603dc200

14499561984 has 160 divisors (see below), whose sum is σ = 40225014720. Its totient is φ = 4635574272.

The previous prime is 14499561977. The next prime is 14499562009. The reversal of 14499561984 is 48916599441.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7259674 + ... + 7261670.

It is an arithmetic number, because the mean of its divisors is an integer number (251406342).

Almost surely, 214499561984 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 14499561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20112507360).

14499561984 is an abundant number, since it is smaller than the sum of its proper divisors (25725452736).

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

14499561984 is a wasteful number, since it uses less digits than its factorization.

14499561984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2194 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 60.

The spelling of 14499561984 in words is "fourteen billion, four hundred ninety-nine million, five hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 163 174 192 232 256 326 348 384 464 489 512 652 696 768 928 978 1304 1392 1536 1856 1956 1997 2608 2784 3712 3912 3994 4727 5216 5568 5991 7424 7824 7988 9454 10432 11136 11982 14181 14848 15648 15976 18908 20864 22272 23964 28362 31296 31952 37816 41728 44544 47928 56724 57913 62592 63904 75632 83456 95856 113448 115826 125184 127808 151264 173739 191712 226896 231652 250368 255616 302528 325511 347478 383424 453792 463304 511232 605056 651022 694956 766848 907584 926608 976533 1022464 1210112 1302044 1389912 1533696 1815168 1853216 1953066 2420224 2604088 2779824 3067392 3630336 3706432 3906132 5208176 5559648 7260672 7412864 7812264 9439819 10416352 11119296 14825728 15624528 18879638 20832704 22238592 28319457 29651456 31249056 37759276 41665408 44477184 56638914 62498112 75518552 83330816 88954368 113277828 124996224 151037104 166661632 226555656 249992448 302074208 453111312 499984896 604148416 906222624 1208296832 1812445248 2416593664 3624890496 4833187328 7249780992 14499561984