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283420839681 = 327219265912721
BaseRepresentation
bin1000001111111010011…
…00101100111100000001
31000002120002022102100100
410013331030230330001
514120421213332211
6334111324113013
726322301250100
oct4077514547401
91002502272310
10283420839681
11aa21a747811
1246b19095769
132095a095485
14da092d0037
15758be15156
hex41fd32cf01

283420839681 has 72 divisors (see below), whose sum is σ = 501516506400. Its totient is φ = 153361071360.

The previous prime is 283420839679. The next prime is 283420839701. The reversal of 283420839681 is 186938024382.

283420839681 is a `hidden beast` number, since 2 + 83 + 420 + 83 + 9 + 68 + 1 = 666.

It is not a de Polignac number, because 283420839681 - 21 = 283420839679 is a prime.

It is a super-2 number, since 2×2834208396812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (283420839671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22273401 + ... + 22286121.

Almost surely, 2283420839681 is an apocalyptic number.

283420839681 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

283420839681 is a deficient number, since it is larger than the sum of its proper divisors (218095666719).

283420839681 is a wasteful number, since it uses less digits than its factorization.

283420839681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15419 (or 15409 counting only the distinct ones).

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

The spelling of 283420839681 in words is "two hundred eighty-three billion, four hundred twenty million, eight hundred thirty-nine thousand, six hundred eighty-one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 399 441 931 1197 2659 2793 7977 8379 12721 18613 23931 38163 50521 55839 89047 114489 130291 151563 167517 241699 267141 353647 390873 454689 623329 725097 801423 1060941 1172619 1691893 1869987 2175291 2475529 3182823 5075679 5609961 7426587 11843251 15227037 22279761 33825139 35529753 101475417 106589259 236775973 304426251 642677641 710327919 1657431811 1928032923 2130983757 4498743487 4972295433 5784098769 13496230461 14916886299 31491204409 40488691383 94473613227 283420839681