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118661664 = 25311373037
BaseRepresentation
bin1110001001010…
…10001000100000
322021021122012110
413010222020200
5220334133124
615435155320
72640415242
oct704521040
9267248173
10118661664
1160a882a0
12338a5b40
131b778a04
1411a8c092
15a63e029
hex712a220

118661664 has 96 divisors (see below), whose sum is σ = 349102656. Its totient is φ = 34974720.

The previous prime is 118661657. The next prime is 118661671. The reversal of 118661664 is 466166811.

It is an interprime number because it is at equal distance from previous prime (118661657) and next prime (118661671).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37554 + ... + 40590.

It is an arithmetic number, because the mean of its divisors is an integer number (3636486).

Almost surely, 2118661664 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 118661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174551328).

118661664 is an abundant number, since it is smaller than the sum of its proper divisors (230440992).

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

118661664 is a wasteful number, since it uses less digits than its factorization.

118661664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3090 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 118661664 is about 10893.1934711544. The cubic root of 118661664 is about 491.4018774292.

It can be divided in two parts, 11866 and 1664, that added together give a triangular number (13530 = T164).

The spelling of 118661664 in words is "one hundred eighteen million, six hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3037 3256 3552 4884 6074 6512 9111 9768 12148 13024 18222 19536 24296 33407 36444 39072 48592 66814 72888 97184 100221 112369 133628 145776 200442 224738 267256 291552 337107 400884 449476 534512 674214 801768 898952 1069024 1236059 1348428 1603536 1797904 2472118 2696856 3207072 3595808 3708177 4944236 5393712 7416354 9888472 10787424 14832708 19776944 29665416 39553888 59330832 118661664