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288909012055 = 55310910939151
BaseRepresentation
bin1000011010001000101…
…00011010110001010111
31000121201120021110111211
410031010110122301113
514213141201341210
6340420054442251
726605302040456
oct4150424326127
91017646243454
10288909012055
11101586672964
1247bab063387
13213230c7751
14ddaa148b9d
1577adb4a38a
hex434451ac57

288909012055 has 32 divisors (see below), whose sum is σ = 356837944320. Its totient is φ = 224455795200.

The previous prime is 288909012053. The next prime is 288909012061. The reversal of 288909012055 is 550210909882.

It is not a de Polignac number, because 288909012055 - 21 = 288909012053 is a prime.

It is a super-3 number, since 3×2889090120553 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288909012053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31566730 + ... + 31575880.

It is an arithmetic number, because the mean of its divisors is an integer number (11151185760).

Almost surely, 2288909012055 is an apocalyptic number.

288909012055 is a deficient number, since it is larger than the sum of its proper divisors (67928932265).

288909012055 is a wasteful number, since it uses less digits than its factorization.

288909012055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10411.

The product of its (nonzero) digits is 518400, while the sum is 49.

The spelling of 288909012055 in words is "two hundred eighty-eight billion, nine hundred nine million, twelve thousand, fifty-five".

Divisors: 1 5 53 109 265 545 1093 5465 5777 9151 28885 45755 57929 119137 289645 485003 595685 997459 2425015 4987295 6314261 10002043 31571305 50010215 52865327 264326635 530108279 1090222687 2650541395 5451113435 57781802411 288909012055