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5136446315 = 5721113146609
BaseRepresentation
bin1001100100010011…
…11111001101101011
3111020222010111201102
410302021333031223
541004412240230
62205403512015
7241200034100
oct46211771553
914228114642
105136446315
1121a6432160
12bb422860b
1363b1c3560
1436a25caa7
15200e0a045
hex13227f36b

5136446315 has 48 divisors (see below), whose sum is σ = 8423624160. Its totient is φ = 2955617280.

The previous prime is 5136446309. The next prime is 5136446353.

5136446315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5136446315 - 212 = 5136442219 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38270 + ... + 108339.

It is an arithmetic number, because the mean of its divisors is an integer number (175492170).

Almost surely, 25136446315 is an apocalyptic number.

5136446315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5136446315 is a deficient number, since it is larger than the sum of its proper divisors (3287177845).

5136446315 is a wasteful number, since it uses less digits than its factorization.

5136446315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146652 (or 146645 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The square root of 5136446315 is about 71669.0052602937. The cubic root of 5136446315 is about 1725.3912228948.

It can be divided in two parts, 51364 and 46315, that added together give a palindrome (97679).

The spelling of 5136446315 in words is "five billion, one hundred thirty-six million, four hundred forty-six thousand, three hundred fifteen".

Divisors: 1 5 7 11 13 35 49 55 65 77 91 143 245 385 455 539 637 715 1001 2695 3185 5005 7007 35035 146609 733045 1026263 1612699 1905917 5131315 7183841 8063495 9529585 11288893 13341419 20965087 35919205 56444465 66707095 79022251 93389933 104825435 146755609 395111255 466949665 733778045 1027289263 5136446315