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5003612440 = 2352943100313
BaseRepresentation
bin1001010100011110…
…10001000100011000
3110220201011211220021
410222033101010120
540221411044230
62144300440224
7234665001241
oct45217210430
913821154807
105003612440
1121384550a2
12b77849074
13619824c28
14356761cc8
151e441bc7a
hex12a3d1118

5003612440 has 64 divisors (see below), whose sum is σ = 11917303200. Its totient is φ = 1887470592.

The previous prime is 5003612389. The next prime is 5003612477. The reversal of 5003612440 is 442163005.

It is a super-3 number, since 3×50036124403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 277 + ... + 100036.

Almost surely, 25003612440 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 5003612440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958651600).

5003612440 is an abundant number, since it is smaller than the sum of its proper divisors (6913690760).

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

5003612440 is a wasteful number, since it uses less digits than its factorization.

5003612440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100396 (or 100392 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 5003612440 is about 70736.2173147533. The cubic root of 5003612440 is about 1710.3876599072.

Adding to 5003612440 its reverse (442163005), we get a palindrome (5445775445).

The spelling of 5003612440 in words is "five billion, three million, six hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 43 58 86 116 145 172 215 232 290 344 430 580 860 1160 1247 1720 2494 4988 6235 9976 12470 24940 49880 100313 200626 401252 501565 802504 1003130 2006260 2909077 4012520 4313459 5818154 8626918 11636308 14545385 17253836 21567295 23272616 29090770 34507672 43134590 58181540 86269180 116363080 125090311 172538360 250180622 500361244 625451555 1000722488 1250903110 2501806220 5003612440