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5014884105 = 3257113146687
BaseRepresentation
bin1001010101110100…
…10000111100001001
3110221111101111201100
410222322100330021
540232302242410
62145342212013
7235162545240
oct45272207411
913844344640
105014884105
112143853720
12b7b584009
1361bc7055a
14358057957
151e53e68c0
hex12ae90f09

5014884105 has 96 divisors (see below), whose sum is σ = 11187191808. Its totient is φ = 2016835200.

The previous prime is 5014884079. The next prime is 5014884107.

5014884105 is a `hidden beast` number, since 501 + 48 + 8 + 4 + 105 = 666.

5014884105 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5014884105 - 28 = 5014883849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5014884105.

It is not an unprimeable number, because it can be changed into a prime (5014884107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84072 + ... + 130758.

It is an arithmetic number, because the mean of its divisors is an integer number (116533248).

Almost surely, 25014884105 is an apocalyptic number.

5014884105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5014884105 is an abundant number, since it is smaller than the sum of its proper divisors (6172307703).

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

5014884105 is a wasteful number, since it uses less digits than its factorization.

5014884105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46747 (or 46744 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5014884105 is about 70815.8464257824. The cubic root of 5014884105 is about 1711.6710299038.

The spelling of 5014884105 in words is "five billion, fourteen million, eight hundred eighty-four thousand, one hundred five".

Divisors: 1 3 5 7 9 11 15 21 31 33 35 45 55 63 77 93 99 105 155 165 217 231 279 315 341 385 465 495 651 693 1023 1085 1155 1395 1705 1953 2387 3069 3255 3465 5115 7161 9765 11935 15345 21483 35805 46687 107415 140061 233435 326809 420183 513557 700305 980427 1447297 1540671 1634045 2100915 2567785 2941281 3594899 4341891 4622013 4902135 7236485 7703355 10131079 10784697 13025673 14706405 15920267 17974495 21709455 23110065 30393237 32354091 47760801 50655395 53923485 65128365 79601335 91179711 111441869 143282403 151966185 161770455 238804005 334325607 455898555 557209345 716412015 1002976821 1671628035 5014884105