Search a number
-
+
5045462016 = 21037234629
BaseRepresentation
bin1001011001011101…
…11010010000000000
3111000121221000201120
410230232322100000
540313114241031
62152353432240
7236013501540
oct45456722000
914017830646
105045462016
11215a039321
12b8986b680
136253b85aa
1435c137320
151e7e36a96
hex12cbba400

5045462016 has 88 divisors (see below), whose sum is σ = 15369203520. Its totient is φ = 1441554432.

The previous prime is 5045462003. The next prime is 5045462033. The reversal of 5045462016 is 6102645405.

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 7 ways as a sum of consecutive naturals, for example, 95811 + ... + 138818.

It is an arithmetic number, because the mean of its divisors is an integer number (174650040).

Almost surely, 25045462016 is an apocalyptic number.

5045462016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5045462016 is an abundant number, since it is smaller than the sum of its proper divisors (10323741504).

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

5045462016 is a wasteful number, since it uses less digits than its factorization.

5045462016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234659 (or 234641 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 5045462016 is about 71031.4156975630. The cubic root of 5045462016 is about 1715.1429150453.

It can be divided in two parts, 5045 and 462016, that added together give a triangular number (467061 = T966).

The spelling of 5045462016 in words is "five billion, forty-five million, four hundred sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 234629 469258 703887 938516 1407774 1642403 1877032 2815548 3284806 3754064 4927209 5631096 6569612 7508128 9854418 11262192 13139224 15016256 19708836 22524384 26278448 30032512 39417672 45048768 52556896 60065024 78835344 90097536 105113792 120130048 157670688 180195072 210227584 240260096 315341376 360390144 420455168 630682752 720780288 840910336 1261365504 1681820672 2522731008 5045462016