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2145033616 = 2411173591997
BaseRepresentation
bin111111111011010…
…1001110110010000
312112111020222221111
41333312221312100
513343112033431
6552503303104
7104104325215
oct17766516620
95474228844
102145033616
11a008a7560
124ba44aa94
1328252787b
14164c4db0c
15c84b07b1
hex7fda9d90

2145033616 has 80 divisors (see below), whose sum is σ = 4816298880. Its totient is φ = 914647040.

The previous prime is 2145033593. The next prime is 2145033619. The reversal of 2145033616 is 6163305412.

It is not an unprimeable number, because it can be changed into a prime (2145033619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1073130 + ... + 1075126.

It is an arithmetic number, because the mean of its divisors is an integer number (60203736).

Almost surely, 22145033616 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 2145033616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408149440).

2145033616 is an abundant number, since it is smaller than the sum of its proper divisors (2671265264).

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

2145033616 is a wasteful number, since it uses less digits than its factorization.

2145033616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 2145033616 is about 46314.5076191035. The cubic root of 2145033616 is about 1289.6683272861.

The spelling of 2145033616 in words is "two billion, one hundred forty-five million, thirty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 359 374 718 748 1436 1496 1997 2872 2992 3949 3994 5744 6103 7898 7988 12206 15796 15976 21967 24412 31592 31952 33949 43934 48824 63184 67133 67898 87868 97648 134266 135796 175736 268532 271592 351472 373439 537064 543184 716923 746878 1074128 1433846 1493756 2867692 2987512 5735384 5975024 7886153 11470768 12187691 15772306 24375382 31544612 48750764 63089224 97501528 126178448 134064601 195003056 268129202 536258404 1072516808 2145033616