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111666222440 = 23517732578753
BaseRepresentation
bin110011111111111010…
…0110101010101101000
3101200020012200211212022
41213333310311111220
53312143023104230
6123144310404012
711032123141553
oct1477764652550
9350205624768
10111666222440
11433a2742753
1219784960608
13a6b777ac46
1455945d569a
152d885281e5
hex19ffd35568

111666222440 has 128 divisors (see below), whose sum is σ = 270752816160. Its totient is φ = 41297117184.

The previous prime is 111666222413. The next prime is 111666222469. The reversal of 111666222440 is 44222666111.

It can be written as a sum of positive squares in 16 ways, for example, as 83406595204 + 28259627236 = 288802^2 + 168106^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 111666222440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12753104 + ... + 12761856.

Almost surely, 2111666222440 is an apocalyptic number.

111666222440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111666222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135376408080).

111666222440 is an abundant number, since it is smaller than the sum of its proper divisors (159086593720).

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

111666222440 is a wasteful number, since it uses less digits than its factorization.

111666222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9111 (or 9107 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

Adding to 111666222440 its reverse (44222666111), we get a palindrome (155888888551).

The spelling of 111666222440 in words is "one hundred eleven billion, six hundred sixty-six million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 73 85 136 146 170 257 292 340 365 514 584 680 730 1028 1241 1285 1460 2056 2482 2570 2920 4369 4964 5140 6205 8738 8753 9928 10280 12410 17476 17506 18761 21845 24820 34952 35012 37522 43690 43765 49640 70024 75044 87380 87530 93805 148801 150088 174760 175060 187610 297602 318937 350120 375220 595204 637874 638969 744005 750440 1190408 1275748 1277938 1488010 1594685 2249521 2551496 2555876 2976020 3189370 3194845 4499042 5111752 5952040 6378740 6389690 8998084 10862473 11247605 12757480 12779380 17996168 21724946 22495210 25558760 38241857 43449892 44990420 54312365 76483714 86899784 89980840 108624730 152967428 164215033 191209285 217249460 305934856 328430066 382418570 434498920 656860132 764837140 821075165 1313720264 1529674280 1642150330 2791655561 3284300660 5583311122 6568601320 11166622244 13958277805 22333244488 27916555610 55833111220 111666222440