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5005007315 = 5711174011907
BaseRepresentation
bin1001010100101001…
…00101100111010011
3110220210210201022022
410222110211213103
540222240213230
62144350402055
7235012601030
oct45224454723
913823721268
105005007315
112139218090
12b7820032b
13619bc2ab9
14356a06387
151e45e51e5
hex12a5259d3

5005007315 has 64 divisors (see below), whose sum is σ = 7952421888. Its totient is φ = 2927616000.

The previous prime is 5005007291. The next prime is 5005007327. The reversal of 5005007315 is 5137005005.

It is not a de Polignac number, because 5005007315 - 26 = 5005007251 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2623592 + ... + 2625498.

It is an arithmetic number, because the mean of its divisors is an integer number (124256592).

Almost surely, 25005007315 is an apocalyptic number.

5005007315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5005007315 is a deficient number, since it is larger than the sum of its proper divisors (2947414573).

5005007315 is a wasteful number, since it uses less digits than its factorization.

5005007315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348.

The product of its (nonzero) digits is 2625, while the sum is 26.

The square root of 5005007315 is about 70746.0763222951. The cubic root of 5005007315 is about 1710.5465821095.

The spelling of 5005007315 in words is "five billion, five million, seven thousand, three hundred fifteen".

Divisors: 1 5 7 11 17 35 55 77 85 119 187 385 401 595 935 1309 1907 2005 2807 4411 6545 6817 9535 13349 14035 20977 22055 30877 32419 34085 47719 66745 74987 104885 146839 154385 162095 226933 238595 356609 374935 524909 734195 764707 1134665 1783045 2496263 2624545 3823535 5352949 8411777 12481315 13000019 26764745 42058885 58882439 65000095 91000133 143000209 294412195 455000665 715001045 1001001463 5005007315