Search a number
-
+
5020665312 = 2531312893121
BaseRepresentation
bin1001010110100000…
…10100010111100000
3110221220021020001010
410223100110113200
540240242242222
62150110140520
7235262644125
oct45320242740
913856236033
105020665312
112147042183
12b814b1740
13620215aa0
14358b2074c
151e5b8980c
hex12b4145e0

5020665312 has 96 divisors (see below), whose sum is σ = 14208596640. Its totient is φ = 1543127040.

The previous prime is 5020665311. The next prime is 5020665319. The reversal of 5020665312 is 2135660205.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5020665312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5020665311) by changing a digit.

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, 1607112 + ... + 1610232.

It is an arithmetic number, because the mean of its divisors is an integer number (148006215).

Almost surely, 25020665312 is an apocalyptic number.

5020665312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5020665312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7104298320).

5020665312 is an abundant number, since it is smaller than the sum of its proper divisors (9187931328).

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

5020665312 is a wasteful number, since it uses less digits than its factorization.

5020665312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 5020665312 is about 70856.6532655897. The cubic root of 5020665312 is about 1712.3285209653.

The spelling of 5020665312 in words is "five billion, twenty million, six hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1289 2578 3121 3867 5156 6242 7734 9363 10312 12484 15468 16757 18726 20624 24968 30936 33514 37452 40573 41248 49936 50271 61872 67028 74904 81146 99872 100542 121719 123744 134056 149808 162292 201084 243438 268112 299616 324584 402168 486876 536224 649168 804336 973752 1298336 1608672 1947504 3895008 4022969 8045938 12068907 16091876 24137814 32183752 48275628 52298597 64367504 96551256 104597194 128735008 156895791 193102512 209194388 313791582 386205024 418388776 627583164 836777552 1255166328 1673555104 2510332656 5020665312