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5017615488 = 273220872
BaseRepresentation
bin1001010110001001…
…01011110010000000
3110221200112021110200
410223010223302000
540234002143423
62145520525200
7235225012404
oct45304536200
913850467420
105017615488
112145349866
12b80480800
1361c6b8862
14358569104
151e5785d43
hex12b12bc80

5017615488 has 72 divisors (see below), whose sum is σ = 14445632955. Its totient is φ = 1671737088.

The previous prime is 5017615487. The next prime is 5017615549. The reversal of 5017615488 is 8845167105.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5017615488 is a `hidden beast` number, since 501 + 7 + 61 + 5 + 4 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2508807744 + 2508807744 = 50088^2 + 50088^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=50088.

It is not an unprimeable number, because it can be changed into a prime (5017615487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2403181 + ... + 2405267.

Almost surely, 25017615488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5017615488

5017615488 is an abundant number, since it is smaller than the sum of its proper divisors (9428017467).

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

5017615488 is an frugal number, since it uses more digits than its factorization.

5017615488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 5017615488 is about 70835.1289121436. The cubic root of 5017615488 is about 1711.9817303783.

The spelling of 5017615488 in words is "five billion, seventeen million, six hundred fifteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2087 4174 6261 8348 12522 16696 18783 25044 33392 37566 50088 66784 75132 100176 133568 150264 200352 267136 300528 400704 601056 801408 1202112 2404224 4355569 8711138 13066707 17422276 26133414 34844552 39200121 52266828 69689104 78400242 104533656 139378208 156800484 209067312 278756416 313600968 418134624 557512832 627201936 836269248 1254403872 1672538496 2508807744 5017615488