Search a number
-
+
18027680399360 = 2155761144589
BaseRepresentation
bin1000001100101011001010…
…11111001000000000000000
32100211102121001011122011222
410012111211133020000000
54330331142140234420
6102201445124054212
73540312504024362
oct406254537100000
970742531148158
1018027680399360
115820550671a65
122031a75834368
13a0a006698bc8
14464789b24d32
15213e1c03d225
hex1065657c8000

18027680399360 has 128 divisors (see below), whose sum is σ = 43322926231800. Its totient is φ = 7201546567680.

The previous prime is 18027680399327. The next prime is 18027680399413. The reversal of 18027680399360 is 6399308672081.

It can be written as a sum of positive squares in 4 ways, for example, as 4888273371136 + 13139407028224 = 2210944^2 + 3624832^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 18027680399293 and 18027680399302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124609946 + ... + 124754534.

Almost surely, 218027680399360 is an apocalyptic number.

18027680399360 is a gapful number since it is divisible by the number (10) 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 18027680399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21661463115900).

18027680399360 is an abundant number, since it is smaller than the sum of its proper divisors (25295245832440).

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

18027680399360 is an frugal number, since it uses more digits than its factorization.

18027680399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145385 (or 145357 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 62.

The spelling of 18027680399360 in words is "eighteen trillion, twenty-seven billion, six hundred eighty million, three hundred ninety-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 761 1024 1280 1522 2048 2560 3044 3805 4096 5120 6088 7610 8192 10240 12176 15220 16384 20480 24352 30440 32768 40960 48704 60880 81920 97408 121760 144589 163840 194816 243520 289178 389632 487040 578356 722945 779264 974080 1156712 1445890 1558528 1948160 2313424 2891780 3117056 3896320 4626848 5783560 6234112 7792640 9253696 11567120 12468224 15585280 18507392 23134240 24936448 31170560 37014784 46268480 62341120 74029568 92536960 110032229 124682240 148059136 185073920 220064458 296118272 370147840 440128916 550161145 592236544 740295680 880257832 1100322290 1184473088 1480591360 1760515664 2200644580 2368946176 2961182720 3521031328 4401289160 4737892352 5922365440 7042062656 8802578320 11844730880 14084125312 17605156640 23689461760 28168250624 35210313280 56336501248 70420626560 112673002496 140841253120 225346004992 281682506240 450692009984 563365012480 901384019968 1126730024960 1802768039936 2253460049920 3605536079872 4506920099840 9013840199680 18027680399360