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5218322142 = 2311172594637
BaseRepresentation
bin1001101110000100…
…10100011011011110
3111110200012020020110
410313002110123132
541141342302032
62221450430450
7243213002115
oct46702243336
914420166213
105218322142
112238674730
121017732426
1365215c6a7
14377092c7c
152081ce7cc
hex1370946de

5218322142 has 96 divisors (see below), whose sum is σ = 12302202240. Its totient is φ = 1462750720.

The previous prime is 5218322117. The next prime is 5218322167. The reversal of 5218322142 is 2412238125.

It is an interprime number because it is at equal distance from previous prime (5218322117) and next prime (5218322167).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1123048 + ... + 1127684.

It is an arithmetic number, because the mean of its divisors is an integer number (128147940).

Almost surely, 25218322142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5218322142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6151101120).

5218322142 is an abundant number, since it is smaller than the sum of its proper divisors (7083880098).

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

5218322142 is a wasteful number, since it uses less digits than its factorization.

5218322142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4729 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 5218322142 is about 72237.9549959715. The cubic root of 5218322142 is about 1734.5106147138.

The spelling of 5218322142 in words is "five billion, two hundred eighteen million, three hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 59 66 102 118 177 187 289 354 374 561 578 649 867 1003 1122 1298 1734 1947 2006 3009 3179 3894 4637 6018 6358 9274 9537 11033 13911 17051 19074 22066 27822 33099 34102 51007 51153 66198 78829 102014 102306 153021 157658 187561 236487 273583 306042 375122 472974 547166 562683 820749 867119 1125366 1340093 1641498 1734238 2601357 2680186 3009413 4020279 4650911 5202714 6018826 8040558 9028239 9301822 13952733 14741023 18056478 27905466 29482046 44223069 51160021 79065487 88446138 102320042 153480063 158130974 237196461 306960126 474392922 869720357 1739440714 2609161071 5218322142