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5312660544 = 263230372
BaseRepresentation
bin1001111001010100…
…01100010001000000
3111201020201010012100
410330222030101000
541340020114134
62235100430400
7245436604152
oct47452142100
914636633170
105312660544
112286949554
121043248400
13668870229
1438580cad2
15211616999
hex13ca8c440

5312660544 has 63 divisors (see below), whose sum is σ = 15232797957. Its totient is φ = 1770303744.

The previous prime is 5312660533. The next prime is 5312660569. The reversal of 5312660544 is 4450662135.

The square root of 5312660544 is 72888.

It is a perfect power (a square), and thus also a powerful number.

5312660544 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 6 + 605 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4499726400 + 812934144 = 67080^2 + 28512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5312660499 and 5312660508.

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, 1747794 + ... + 1750830.

Almost surely, 25312660544 is an apocalyptic number.

5312660544 is the 72888-th square number.

It is an amenable number.

5312660544 is an abundant number, since it is smaller than the sum of its proper divisors (9920137413).

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

5312660544 is an frugal number, since it uses more digits than its factorization.

5312660544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6092 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The cubic root of 5312660544 is about 1744.9005883657.

Multiplying 5312660544 by its sum of digits (36), we get a square (191255779584 = 4373282).

5312660544 divided by its sum of digits (36) gives a square (147573904 = 121482).

It can be divided in two parts, 5312 and 660544, that added together give a square (665856 = 8162).

The spelling of 5312660544 in words is "five billion, three hundred twelve million, six hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3037 6074 9111 12148 18222 24296 27333 36444 48592 54666 72888 97184 109332 145776 194368 218664 291552 437328 583104 874656 1749312 9223369 18446738 27670107 36893476 55340214 73786952 83010321 110680428 147573904 166020642 221360856 295147808 332041284 442721712 590295616 664082568 885443424 1328165136 1770886848 2656330272 5312660544