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18749067413664 = 2537157177709541
BaseRepresentation
bin1000100001101010110111…
…00000001100100010100000
32110101101121202002221002210
410100311123200030202200
54424141042224214124
6103513111435242120
73643401240334320
oct420653340144240
973341552087083
1018749067413664
115a79486849a95
1221298408a9340
13a6004c9936a3
1448b661603280
15227a8d9dda29
hex110d5b80c8a0

18749067413664 has 96 divisors (see below), whose sum is σ = 56605464994176. Its totient is φ = 5322756142080.

The previous prime is 18749067413663. The next prime is 18749067413693. The reversal of 18749067413664 is 46631476094781.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18749067413595 and 18749067413604.

It is not an unprimeable number, because it can be changed into a prime (18749067413663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88749267 + ... + 88960274.

It is an arithmetic number, because the mean of its divisors is an integer number (589640260356).

Almost surely, 218749067413664 is an apocalyptic number.

18749067413664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18749067413664 is an abundant number, since it is smaller than the sum of its proper divisors (37856397580512).

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

18749067413664 is a wasteful number, since it uses less digits than its factorization.

18749067413664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177709718 (or 177709710 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 18749067413664 in words is "eighteen trillion, seven hundred forty-nine billion, sixty-seven million, four hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 157 168 224 314 336 471 628 672 942 1099 1256 1884 2198 2512 3297 3768 4396 5024 6594 7536 8792 13188 15072 17584 26376 35168 52752 105504 177709541 355419082 533128623 710838164 1066257246 1243966787 1421676328 2132514492 2487933574 2843352656 3731900361 4265028984 4975867148 5686705312 7463800722 8530057968 9951734296 14927601444 17060115936 19903468592 27900397937 29855202888 39806937184 55800795874 59710405776 83701193811 111601591748 119420811552 167402387622 195302785559 223203183496 334804775244 390605571118 446406366992 585908356677 669609550488 781211142236 892812733984 1171816713354 1339219100976 1562422284472 2343633426708 2678438201952 3124844568944 4687266853416 6249689137888 9374533706832 18749067413664