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4119744163860 = 2234513195619381
BaseRepresentation
bin111011111100110011111…
…000110011000000010100
3112120211210001110111020000
4323330303320303000110
51014444214001220420
612432330115011300
7603433046415423
oct73746370630024
915524701414200
104119744163860
1113491a01a7266
12566525b99b30
1323b64aca8b70
1410357a6cb2ba
157226d777690
hex3bf33e33014

4119744163860 has 120 divisors (see below), whose sum is σ = 13917927790536. Its totient is φ = 1014090865920.

The previous prime is 4119744163789. The next prime is 4119744163889. The reversal of 4119744163860 is 683614479114.

It is a happy number.

4119744163860 is a `hidden beast` number, since 4 + 1 + 197 + 4 + 416 + 38 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36741989124 + 4083002174736 = 191682^2 + 2020644^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4119744163797 and 4119744163806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97788631 + ... + 97830750.

Almost surely, 24119744163860 is an apocalyptic number.

It is an amenable number.

4119744163860 is an abundant number, since it is smaller than the sum of its proper divisors (9798183626676).

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

4119744163860 is a wasteful number, since it uses less digits than its factorization.

4119744163860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195619415 (or 195619404 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4119744163860 in words is "four trillion, one hundred nineteen billion, seven hundred forty-four million, one hundred sixty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 195619381 391238762 586858143 782477524 978096905 1173716286 1760574429 1956193810 2347432572 2543051953 2934290715 3521148858 3912387620 5086103906 5281723287 5868581430 7042297716 7629155859 8802872145 10172207812 10563446574 11737162860 12715259765 15258311718 15845169861 17605744290 21126893148 22887467577 25430519530 26408616435 30516623436 31690339722 35211488580 38145779295 45774935154 50861039060 52817232870 63380679444 68662402731 76291558590 79225849305 91549870308 105634465740 114437337885 137324805462 152583117180 158451698610 205987208193 228874675770 274649610924 316903397220 343312013655 411974416386 457749351540 686624027310 823948832772 1029936040965 1373248054620 2059872081930 4119744163860