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268689474288 = 24322390072
BaseRepresentation
bin1111101000111100100…
…1000000001011110000
3221200112102122112001200
43322033021000023300
513400234001134123
6323233443531200
725261242563664
oct3721711001360
9850472575050
10268689474288
11a3a50226974
12440a7689b00
131c4500b4911
14d00ca368a4
156ec89b6143
hex3e8f2402f0

268689474288 has 90 divisors (see below), whose sum is σ = 784738271304. Its totient is φ = 85659596352.

The previous prime is 268689474283. The next prime is 268689474289. The reversal of 268689474288 is 882474986862.

268689474288 is a `hidden beast` number, since 2 + 6 + 86 + 89 + 47 + 428 + 8 = 666.

It is a super-3 number, since 3×2686894742883 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268689474283) 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 17 ways as a sum of consecutive naturals, for example, 29826681 + ... + 29835687.

Almost surely, 2268689474288 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 268689474288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392369135652).

268689474288 is an abundant number, since it is smaller than the sum of its proper divisors (516048797016).

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

268689474288 is an frugal number, since it uses more digits than its factorization.

268689474288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18051 (or 9035 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 72.

The spelling of 268689474288 in words is "two hundred sixty-eight billion, six hundred eighty-nine million, four hundred seventy-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 9007 18014 27021 36028 54042 72056 81063 108084 144112 162126 207161 216168 324252 414322 432336 621483 648504 828644 1242966 1297008 1657288 1864449 2485932 3314576 3728898 4971864 7457796 9943728 14915592 29831184 81126049 162252098 243378147 324504196 486756294 649008392 730134441 973512588 1298016784 1460268882 1865899127 1947025176 2920537764 3731798254 3894050352 5597697381 5841075528 7463596508 11195394762 11682151056 14927193016 16793092143 22390789524 29854386032 33586184286 44781579048 67172368572 89563158096 134344737144 268689474288