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106865868288 = 293508113693
BaseRepresentation
bin110001110000110110…
…0111011111000000000
3101012211122222120220210
41203201230323320000
53222330130241123
6121032110234120
710502143615134
oct1434154737000
9335748876823
10106865868288
1141359aa6613
12188651b5940
13a1010b13ba
14525ac633c4
152ba6daae93
hex18e1b3be00

106865868288 has 80 divisors (see below), whose sum is σ = 284774179536. Its totient is φ = 35612344320.

The previous prime is 106865868287. The next prime is 106865868301. The reversal of 106865868288 is 882868568601.

It is a super-2 number, since 2×1068658682882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106865868283) 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 7 ways as a sum of consecutive naturals, for example, 7797570 + ... + 7811262.

Almost surely, 2106865868288 is an apocalyptic number.

It is an amenable number.

106865868288 is an abundant number, since it is smaller than the sum of its proper divisors (177908311248).

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

106865868288 is an equidigital number, since it uses as much as digits as its factorization.

106865868288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18795 (or 18779 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 66.

The spelling of 106865868288 in words is "one hundred six billion, eight hundred sixty-five million, eight hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 5081 10162 13693 15243 20324 27386 30486 40648 41079 54772 60972 81296 82158 109544 121944 162592 164316 219088 243888 325184 328632 438176 487776 650368 657264 876352 975552 1300736 1314528 1752704 1951104 2601472 2629056 3505408 3902208 5258112 7010816 7804416 10516224 21032448 69574133 139148266 208722399 278296532 417444798 556593064 834889596 1113186128 1669779192 2226372256 3339558384 4452744512 6679116768 8905489024 13358233536 17810978048 26716467072 35621956096 53432934144 106865868288