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284060201680 = 245107211157273
BaseRepresentation
bin1000010001000110100…
…11101011001011010000
31000011012122101101010101
410020203103223023100
514123223402423210
6334255003542144
726344163606203
oct4104323531320
91004178341111
10284060201680
11aa51863a962
124707722a954
1320a2c693398
14da6a1a193a
1575c810aa3a
hex42234eb2d0

284060201680 has 80 divisors (see below), whose sum is σ = 669775863744. Its totient is φ = 112027991040.

The previous prime is 284060201671. The next prime is 284060201683. The reversal of 284060201680 is 86102060482.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284060201683) 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, 1727524 + ... + 1884796.

Almost surely, 2284060201680 is an apocalyptic number.

284060201680 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 284060201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334887931872).

284060201680 is an abundant number, since it is smaller than the sum of its proper divisors (385715662064).

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

284060201680 is a wasteful number, since it uses less digits than its factorization.

284060201680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157604 (or 157598 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 284060201680 in words is "two hundred eighty-four billion, sixty million, two hundred one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 211 214 422 428 535 844 856 1055 1070 1688 1712 2110 2140 3376 4220 4280 8440 8560 16880 22577 45154 90308 112885 157273 180616 225770 314546 361232 451540 629092 786365 903080 1258184 1572730 1806160 2516368 3145460 6290920 12581840 16828211 33184603 33656422 66369206 67312844 84141055 132738412 134625688 165923015 168282110 265476824 269251376 331846030 336564220 530953648 663692060 673128440 1327384120 1346256880 2654768240 3550752521 7101505042 14203010084 17753762605 28406020168 35507525210 56812040336 71015050420 142030100840 284060201680