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4466242116 = 2232747557677
BaseRepresentation
bin1000010100011010…
…10111001001000100
3102112021000121101200
410022031113021010
533121324221431
62015103022500
7215451301020
oct41215271104
912467017350
104466242116
111992093896
12a4789aa30
135623b721b
1430523d380
151b2170ee6
hex10a357244

4466242116 has 144 divisors (see below), whose sum is σ = 13220153856. Its totient is φ = 1244835072.

The previous prime is 4466242103. The next prime is 4466242153. The reversal of 4466242116 is 6112426644.

4466242116 is a `hidden beast` number, since 4 + 4 + 6 + 624 + 21 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6596770 + ... + 6597446.

It is an arithmetic number, because the mean of its divisors is an integer number (91806624).

Almost surely, 24466242116 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 4466242116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610076928).

4466242116 is an abundant number, since it is smaller than the sum of its proper divisors (8753911740).

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

4466242116 is a wasteful number, since it uses less digits than its factorization.

4466242116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1293 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4466242116 is about 66829.9492443321. The cubic root of 4466242116 is about 1646.8248846391.

The spelling of 4466242116 in words is "four billion, four hundred sixty-six million, two hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 557 564 658 677 846 987 1114 1316 1354 1671 1692 1974 2031 2228 2708 2961 3342 3899 3948 4062 4739 5013 5922 6093 6684 7798 8124 9478 10026 11697 11844 12186 14217 15596 18956 20052 23394 24372 26179 28434 31819 35091 42651 46788 52358 56868 63638 70182 78537 85302 95457 104716 127276 140364 157074 170604 183253 190914 222733 235611 286371 314148 366506 377089 381828 445466 471222 549759 572742 668199 733012 754178 890932 942444 1099518 1131267 1145484 1336398 1508356 1649277 2004597 2199036 2262534 2639623 2672796 3298554 3393801 4009194 4525068 5279246 6597108 6787602 7918869 8018388 10558492 13575204 15837738 17723183 23756607 31675476 35446366 47513214 53169549 70892732 95026428 106339098 124062281 159508647 212678196 248124562 319017294 372186843 496249124 638034588 744373686 1116560529 1488747372 2233121058 4466242116