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2682143914680 = 2332512176121939
BaseRepresentation
bin100111000001111100001…
…111000011101010111000
3100111102002012222010111200
4213001330033003222320
5322421012320232210
65412054312254200
7364531012052556
oct47017417035270
910442065863450
102682143914680
1194454435327a
123739986a1360
13165c0454bb49
1493b6050abd6
1549b7e6580c0
hex2707c3c3ab8

2682143914680 has 96 divisors (see below), whose sum is σ = 8724131816400. Its totient is φ = 714650554368.

The previous prime is 2682143914663. The next prime is 2682143914687. The reversal of 2682143914680 is 864193412862.

2682143914680 is a `hidden beast` number, since 2 + 6 + 82 + 14 + 3 + 91 + 468 + 0 = 666.

2682143914680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682143914687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2622850 + ... + 3499089.

Almost surely, 22682143914680 is an apocalyptic number.

2682143914680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2682143914680 is an abundant number, since it is smaller than the sum of its proper divisors (6041987901720).

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

2682143914680 is a wasteful number, since it uses less digits than its factorization.

2682143914680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6123173 (or 6123166 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2682143914680 in words is "two trillion, six hundred eighty-two billion, one hundred forty-three million, nine hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1217 2434 3651 4868 6085 7302 9736 10953 12170 14604 18255 21906 24340 29208 36510 43812 48680 54765 73020 87624 109530 146040 219060 438120 6121939 12243878 18365817 24487756 30609695 36731634 48975512 55097451 61219390 73463268 91829085 110194902 122438780 146926536 183658170 220389804 244877560 275487255 367316340 440779608 550974510 734632680 1101949020 2203898040 7450399763 14900799526 22351199289 29801599052 37251998815 44702398578 59603198104 67053597867 74503997630 89404797156 111755996445 134107195734 149007995260 178809594312 223511992890 268214391468 298015990520 335267989335 447023985780 536428782936 670535978670 894047971560 1341071957340 2682143914680