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2665409152 = 2776148767
BaseRepresentation
bin1001111011011110…
…1110101010000000
320212202102210222111
42132313232222000
520424321043102
61120252545104
7123023414110
oct23667565200
96782383874
102665409152
11114861038a
12624782194
13336294ca3
141b3dcb040
15109000cd7
hex9edeea80

2665409152 has 64 divisors (see below), whose sum is σ = 6168176640. Its totient is φ = 1123568640.

The previous prime is 2665409147. The next prime is 2665409179. The reversal of 2665409152 is 2519045662.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 30273 + ... + 79039.

It is an arithmetic number, because the mean of its divisors is an integer number (96377760).

Almost surely, 22665409152 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 2665409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084088320).

2665409152 is an abundant number, since it is smaller than the sum of its proper divisors (3502767488).

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

2665409152 is an equidigital number, since it uses as much as digits as its factorization.

2665409152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48849 (or 48837 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 2665409152 is about 51627.6006802563. The cubic root of 2665409152 is about 1386.5045364355.

The spelling of 2665409152 in words is "two billion, six hundred sixty-five million, four hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 427 448 488 854 896 976 1708 1952 3416 3904 6832 7808 13664 27328 48767 54656 97534 195068 341369 390136 682738 780272 1365476 1560544 2730952 2974787 3121088 5461904 5949574 6242176 10923808 11899148 20823509 21847616 23798296 41647018 43695232 47596592 83294036 95193184 166588072 190386368 333176144 380772736 666352288 1332704576 2665409152