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5814641104 = 2417101211657
BaseRepresentation
bin1010110101001010…
…00110000111010000
3120000020021101001221
411122211012013100
543402022003404
62400551534424
7264043430266
oct53245060720
916006241057
105814641104
112514238a18
12116338a414
1371886994c
143d235c436
15240721954
hex15a9461d0

5814641104 has 40 divisors (see below), whose sum is σ = 12046726728. Its totient is φ = 2709196800.

The previous prime is 5814641083. The next prime is 5814641153. The reversal of 5814641104 is 4011464185.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4585998400 + 1228642704 = 67720^2 + 35052^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 5814641104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78357 + ... + 133300.

Almost surely, 25814641104 is an apocalyptic number.

It is an amenable number.

5814641104 is an abundant number, since it is smaller than the sum of its proper divisors (6232085624).

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

5814641104 is a wasteful number, since it uses less digits than its factorization.

5814641104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211783 (or 211777 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 5814641104 is about 76253.7940301989. The cubic root of 5814641104 is about 1798.2123305141.

The spelling of 5814641104 in words is "five billion, eight hundred fourteen million, six hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 404 808 1616 1717 3434 6868 13736 27472 211657 423314 846628 1693256 3386512 3598169 7196338 14392676 21377357 28785352 42754714 57570704 85509428 171018856 342037712 363415069 726830138 1453660276 2907320552 5814641104