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268283319993 = 3413614176721
BaseRepresentation
bin1111100111011011101…
…1101001011010111001
3221122111010101202010000
43321312323221122321
513343421012214433
6323125254343213
725245211410453
oct3716673513271
9848433352100
10268283319993
11a3861a38167
1243bb365ab09
131c3b6bca030
14cdb0b0d2d3
156ea2ed9113
hex3e76ee96b9

268283319993 has 40 divisors (see below), whose sum is σ = 438672758216. Its totient is φ = 162390873600.

The previous prime is 268283319989. The next prime is 268283320021. The reversal of 268283319993 is 399913382862.

268283319993 is a `hidden beast` number, since 268 + 283 + 3 + 1 + 9 + 9 + 93 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2865675024 + 265417644969 = 53532^2 + 515187^2 .

It is not a de Polignac number, because 268283319993 - 22 = 268283319989 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 268283319993.

It is not an unprimeable number, because it can be changed into a prime (268283319973) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2024128 + ... + 2152593.

Almost surely, 2268283319993 is an apocalyptic number.

It is an amenable number.

268283319993 is a deficient number, since it is larger than the sum of its proper divisors (170389438223).

268283319993 is a wasteful number, since it uses less digits than its factorization.

268283319993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176807 (or 4176798 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 268283319993 in words is "two hundred sixty-eight billion, two hundred eighty-three million, three hundred nineteen thousand, nine hundred ninety-three".

Divisors: 1 3 9 13 27 39 61 81 117 183 351 549 793 1053 1647 2379 4941 7137 21411 64233 4176721 12530163 37590489 54297373 112771467 162892119 254779981 338314401 488676357 764339943 1466029071 2293019829 3312139753 4398087213 6879059487 9936419259 20637178461 29809257777 89427773331 268283319993