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5519434640 = 2451913192753
BaseRepresentation
bin1010010001111101…
…11110001110010000
3112020122210022221012
411020332332032100
542300433402030
62311404350052
7253530264116
oct51076761620
915218708835
105519434640
112382638a35
1210a0545328
1369c659975
143a5075ab6
1522485d095
hex148fbe390

5519434640 has 80 divisors (see below), whose sum is σ = 13523241600. Its totient is φ = 2089230336.

The previous prime is 5519434631. The next prime is 5519434699. The reversal of 5519434640 is 464349155.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2003504 + ... + 2006256.

It is an arithmetic number, because the mean of its divisors is an integer number (169040520).

Almost surely, 25519434640 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 5519434640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761620800).

5519434640 is an abundant number, since it is smaller than the sum of its proper divisors (8003806960).

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

5519434640 is a wasteful number, since it uses less digits than its factorization.

5519434640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The square root of 5519434640 is about 74292.8976416992. The cubic root of 5519434640 is about 1767.2508462461.

The spelling of 5519434640 in words is "five billion, five hundred nineteen million, four hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1319 1520 2638 2753 5276 5506 6595 10552 11012 13190 13765 21104 22024 25061 26380 27530 44048 50122 52307 52760 55060 100244 104614 105520 110120 125305 200488 209228 220240 250610 261535 400976 418456 501220 523070 836912 1002440 1046140 2004880 2092280 3631207 4184560 7262414 14524828 18156035 29049656 36312070 58099312 68992933 72624140 137985866 145248280 275971732 290496560 344964665 551943464 689929330 1103886928 1379858660 2759717320 5519434640