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6487971872 = 252924912
BaseRepresentation
bin1100000101011011…
…01001100000100000
3121202011021010020112
412002231221200200
5101241410044442
62551443430452
7316530564614
oct60255514040
917664233215
106487971872
11282a322328
121310985428
137c51cc115
14457953344
1527e8c7082
hex182b69820

6487971872 has 54 divisors (see below), whose sum is σ = 13255835229. Its totient is φ = 3125745280.

The previous prime is 6487971863. The next prime is 6487971943. The reversal of 6487971872 is 2781797846.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 6484114576 + 3857296 = 80524^2 + 1964^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=56956.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13213547 + ... + 13214037.

Almost surely, 26487971872 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 6487971872

6487971872 is an abundant number, since it is smaller than the sum of its proper divisors (6767863357).

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

6487971872 is an frugal number, since it uses more digits than its factorization.

6487971872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 522 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 59.

The square root of 6487971872 is about 80547.9476585220. The cubic root of 6487971872 is about 1865.1037106397.

The spelling of 6487971872 in words is "six billion, four hundred eighty-seven million, nine hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 491 841 928 982 1682 1964 3364 3928 6728 7856 13456 14239 15712 26912 28478 56956 113912 227824 241081 412931 455648 482162 825862 964324 1651724 1928648 3303448 3857296 6606896 6991349 7714592 13213792 13982698 27965396 55930792 111861584 202749121 223723168 405498242 810996484 1621992968 3243985936 6487971872