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13946487184 = 2472341132049
BaseRepresentation
bin11001111110100011…
…01000000110010000
31022222221202221210101
430333101220012100
5212030300042214
610223521342144
71002415120330
oct147721500620
938887687711
1013946487184
115a07479273
122852797954
1314134c38a6
149643470c0
155695b2774
hex33f468190

13946487184 has 80 divisors (see below), whose sum is σ = 33010387200. Its totient is φ = 5577707520.

The previous prime is 13946487097. The next prime is 13946487193. The reversal of 13946487184 is 48178464931.

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, 39592 + ... + 171640.

It is an arithmetic number, because the mean of its divisors is an integer number (412629840).

Almost surely, 213946487184 is an apocalyptic number.

13946487184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13946487184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16505193600).

13946487184 is an abundant number, since it is smaller than the sum of its proper divisors (19063900016).

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

13946487184 is a wasteful number, since it uses less digits than its factorization.

13946487184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132128 (or 132122 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 55.

The spelling of 13946487184 in words is "thirteen billion, nine hundred forty-six million, four hundred eighty-seven thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 41 46 56 82 92 112 161 164 184 287 322 328 368 574 644 656 943 1148 1288 1886 2296 2576 3772 4592 6601 7544 13202 15088 26404 52808 105616 132049 264098 528196 924343 1056392 1848686 2112784 3037127 3697372 5414009 6074254 7394744 10828018 12148508 14789488 21259889 21656036 24297016 37898063 42519778 43312072 48594032 75796126 85039556 86624144 124522207 151592252 170079112 249044414 303184504 340158224 498088828 606369008 871655449 996177656 1743310898 1992355312 3486621796 6973243592 13946487184