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2114677868680 = 23513127283113149
BaseRepresentation
bin11110110001011100100…
…111111000100010001000
321111011100112111011210201
4132301130213320202020
5234121330013244210
64255245233421544
7305531455206436
oct36613447704210
97434315434721
102114677868680
11745914588973
122a1a0940a8b4
1312454ac437c0
14744cb03dd56
153a01aaea53a
hex1ec5c9f8888

2114677868680 has 128 divisors (see below), whose sum is σ = 5182668288000. Its totient is φ = 771911949312.

The previous prime is 2114677868671. The next prime is 2114677868687. The reversal of 2114677868680 is 868687764112.

It is not an unprimeable number, because it can be changed into a prime (2114677868687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18632746 + ... + 18745894.

It is an arithmetic number, because the mean of its divisors is an integer number (40489596000).

Almost surely, 22114677868680 is an apocalyptic number.

2114677868680 is a gapful number since it is divisible by the number (20) 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 2114677868680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591334144000).

2114677868680 is an abundant number, since it is smaller than the sum of its proper divisors (3067990419320).

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

2114677868680 is a wasteful number, since it uses less digits than its factorization.

2114677868680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113583 (or 113579 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 64.

The spelling of 2114677868680 in words is "two trillion, one hundred fourteen billion, six hundred seventy-seven million, eight hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 127 130 254 260 283 508 520 566 635 1016 1132 1270 1415 1651 2264 2540 2830 3302 3679 5080 5660 6604 7358 8255 11320 13208 14716 16510 18395 29432 33020 35941 36790 66040 71882 73580 113149 143764 147160 179705 226298 287528 359410 452596 467233 565745 718820 905192 934466 1131490 1437640 1470937 1868932 2262980 2336165 2941874 3737864 4525960 4672330 5883748 7354685 9344660 11767496 14369923 14709370 18689320 28739846 29418740 32021167 57479692 58837480 64042334 71849615 114959384 128084668 143699230 160105835 186808999 256169336 287398460 320211670 373617998 416275171 574796920 640423340 747235996 832550342 934044995 1280846680 1494471992 1665100684 1868089990 2081375855 3330201368 3736179980 4066688209 4162751710 7472359960 8133376418 8325503420 16266752836 16651006840 20333441045 32533505672 40666882090 52866946717 81333764180 105733893434 162667528360 211467786868 264334733585 422935573736 528669467170 1057338934340 2114677868680