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5019327378 = 233132678209
BaseRepresentation
bin1001010110010110…
…01101101110010010
3110221210202020202000
410223023031232102
540234421434003
62150021334430
7235245402342
oct45313155622
913853666660
105019327378
112146308a4a
12b80b67416
1361cb67b00
14358892d22
151e59c31a3
hex12b2cdb92

5019327378 has 96 divisors (see below), whose sum is σ = 12259828800. Its totient is φ = 1521172224.

The previous prime is 5019327377. The next prime is 5019327407. The reversal of 5019327378 is 8737239105.

It is a happy number.

5019327378 is a `hidden beast` number, since 501 + 9 + 3 + 2 + 73 + 78 = 666.

It is not an unprimeable number, because it can be changed into a prime (5019327377) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 607338 + ... + 615546.

It is an arithmetic number, because the mean of its divisors is an integer number (127706550).

Almost surely, 25019327378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5019327378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129914400).

5019327378 is an abundant number, since it is smaller than the sum of its proper divisors (7240501422).

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

5019327378 is a wasteful number, since it uses less digits than its factorization.

5019327378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8313 (or 8294 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 5019327378 is about 70847.2115047586. The cubic root of 5019327378 is about 1712.1764039357.

The spelling of 5019327378 in words is "five billion, nineteen million, three hundred twenty-seven thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 67 78 117 134 169 201 234 338 351 402 507 603 702 871 1014 1206 1521 1742 1809 2613 3042 3618 4563 5226 7839 8209 9126 11323 15678 16418 22646 23517 24627 33969 47034 49254 67938 73881 101907 106717 147762 203814 213434 221643 305721 320151 443286 550003 611442 640302 960453 1100006 1387321 1650009 1920906 2774642 2881359 3300018 4161963 4950027 5762718 7150039 8323926 9900054 12485889 14300078 14850081 21450117 24971778 29700162 37457667 42900234 64350351 74915334 92950507 128700702 185901014 193051053 278851521 386102106 557703042 836554563 1673109126 2509663689 5019327378