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2755678068 = 223211131035197
BaseRepresentation
bin1010010001000000…
…0100111101110100
321010001021221122200
42210100010331310
521120423144233
61133235424500
7125200606563
oct24420047564
97101257580
102755678068
1111945657a0
1264aa55130
1334bbac450
141c1da7bda
15111dd2313
hexa4404f74

2755678068 has 144 divisors (see below), whose sum is σ = 8264570496. Its totient is φ = 763188480.

The previous prime is 2755678067. The next prime is 2755678117. The reversal of 2755678068 is 8608765572.

2755678068 is a `hidden beast` number, since 2 + 7 + 556 + 7 + 80 + 6 + 8 = 666.

It is a super-2 number, since 2×27556780682 = 15187523228912425248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755678061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 527646 + ... + 532842.

Almost surely, 22755678068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2755678068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132285248).

2755678068 is an abundant number, since it is smaller than the sum of its proper divisors (5508892428).

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

2755678068 is a wasteful number, since it uses less digits than its factorization.

2755678068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The square root of 2755678068 is about 52494.5527459755. The cubic root of 2755678068 is about 1401.9832551590.

The spelling of 2755678068 in words is "two billion, seven hundred fifty-five million, six hundred seventy-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 103 117 132 143 156 198 206 234 286 309 396 412 429 468 572 618 858 927 1133 1236 1287 1339 1716 1854 2266 2574 2678 3399 3708 4017 4532 5148 5197 5356 6798 8034 10197 10394 12051 13596 14729 15591 16068 20394 20788 24102 29458 31182 40788 44187 46773 48204 57167 58916 62364 67561 88374 93546 114334 132561 135122 171501 176748 187092 202683 228668 265122 270244 343002 405366 514503 530244 535291 608049 686004 743171 810732 1029006 1070582 1216098 1486342 1605873 2058012 2141164 2229513 2432196 2972684 3211746 4459026 4817619 5888201 6423492 6688539 6958783 8918052 9635238 11776402 13377078 13917566 17664603 19270476 20876349 23552804 26754156 27835132 35329206 41752698 52993809 62629047 70658412 76546613 83505396 105987618 125258094 153093226 211975236 229639839 250516188 306186452 459279678 688919517 918559356 1377839034 2755678068