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5006016015 = 35711131013301
BaseRepresentation
bin1001010100110000…
…11011111000001111
3110220212200221222120
410222120123320033
540223020003030
62144424144023
7235024301610
oct45230337017
913825627876
105006016015
112139846a20
12b78608013
1361a186c70
14356bc9c07
151e4744010
hex12a61be0f

5006016015 has 128 divisors (see below), whose sum is σ = 10863949824. Its totient is φ = 1900800000.

The previous prime is 5006015999. The next prime is 5006016083. The reversal of 5006016015 is 5106106005.

It is not a de Polignac number, because 5006016015 - 24 = 5006015999 is a prime.

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 127 ways as a sum of consecutive naturals, for example, 1514865 + ... + 1518165.

It is an arithmetic number, because the mean of its divisors is an integer number (84874608).

Almost surely, 25006016015 is an apocalyptic number.

5006016015 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5006016015 is an abundant number, since it is smaller than the sum of its proper divisors (5857933809).

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

5006016015 is a wasteful number, since it uses less digits than its factorization.

5006016015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5006016015 is about 70753.2049804106. The cubic root of 5006016015 is about 1710.6614878648.

The spelling of 5006016015 in words is "five billion, six million, sixteen thousand, fifteen".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 101 105 143 165 195 231 273 303 385 429 455 505 707 715 1001 1111 1155 1313 1365 1515 2121 2145 3003 3301 3333 3535 3939 5005 5555 6565 7777 9191 9903 10605 14443 15015 16505 16665 19695 23107 23331 27573 36311 38885 42913 43329 45955 49515 69321 72215 101101 108933 115535 116655 128739 137865 181555 214565 216645 254177 300391 303303 333401 346605 472043 505505 544665 643695 762531 901173 1000203 1270885 1416129 1501955 1516515 1667005 2333807 2360215 3304301 3667411 3812655 4334213 4505865 5001015 7001421 7080645 9912903 11002233 11669035 13002639 16521505 18337055 21671065 25671877 30339491 35007105 47676343 49564515 55011165 65013195 77015631 91018473 128359385 143029029 151697455 238381715 333734401 385078155 455092365 715145145 1001203203 1668672005 5006016015