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5005545348 = 22317295691487
BaseRepresentation
bin1001010100101101…
…01000111110000100
3110220211211001100110
410222112220332010
540222404422343
62144410113020
7235020301446
oct45226507604
913824731313
105005545348
112139555341
12b7841b770
1361a05096b
14356b06496
151e469e833
hex12a5a8f84

5005545348 has 96 divisors (see below), whose sum is σ = 12824179200. Its totient is φ = 1512534016.

The previous prime is 5005545343. The next prime is 5005545353. The reversal of 5005545348 is 8435455005.

It is an interprime number because it is at equal distance from previous prime (5005545343) and next prime (5005545353).

It is a super-2 number, since 2×50055453482 = 50110968461768882208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5005545341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3365461 + ... + 3366947.

It is an arithmetic number, because the mean of its divisors is an integer number (133585200).

Almost surely, 25005545348 is an apocalyptic number.

5005545348 is a gapful number since it is divisible by the number (58) 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 5005545348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412089600).

5005545348 is an abundant number, since it is smaller than the sum of its proper divisors (7818633852).

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

5005545348 is a wasteful number, since it uses less digits than its factorization.

5005545348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The square root of 5005545348 is about 70749.8787843485. The cubic root of 5005545348 is about 1710.6078738969.

The spelling of 5005545348 in words is "five billion, five million, five hundred forty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 569 986 1138 1479 1487 1707 1972 2276 2958 2974 3414 4461 5916 5948 6828 8922 9673 16501 17844 19346 25279 29019 33002 38692 43123 49503 50558 58038 66004 75837 86246 99006 101116 116076 129369 151674 172492 198012 258738 280517 303348 517476 561034 733091 841551 846103 1122068 1466182 1683102 1692206 2199273 2538309 2932364 3366204 3384412 4398546 5076618 8797092 10153236 14383751 24536987 28767502 43151253 49073974 57535004 73610961 86302506 98147948 147221922 172605012 294443844 417128779 834257558 1251386337 1668515116 2502772674 5005545348