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5214361536 = 263234925939
BaseRepresentation
bin1001101101100110…
…01101011111000000
3111110101202000022100
410312303031133000
541134334032121
62221225510400
7243134225136
oct46663153700
914411660270
105214361536
112236409aaa
121016342400
136513a3a37
14376741756
15207b9b026
hex136ccd7c0

5214361536 has 84 divisors (see below), whose sum is σ = 14989429000. Its totient is φ = 1733073408.

The previous prime is 5214361517. The next prime is 5214361549. The reversal of 5214361536 is 6351634125.

5214361536 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 3 + 615 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5214361536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188055 + ... + 213993.

Almost surely, 25214361536 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 5214361536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7494714500).

5214361536 is an abundant number, since it is smaller than the sum of its proper divisors (9775067464).

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

5214361536 is a wasteful number, since it uses less digits than its factorization.

5214361536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26306 (or 26293 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 5214361536 is about 72210.5361841331. The cubic root of 5214361536 is about 1734.0716835984.

The spelling of 5214361536 in words is "five billion, two hundred fourteen million, three hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 349 576 698 1047 1396 2094 2792 3141 4188 5584 6282 8376 11168 12564 16752 22336 25128 25939 33504 50256 51878 67008 77817 100512 103756 155634 201024 207512 233451 311268 415024 466902 622536 830048 933804 1245072 1660096 1867608 2490144 3735216 4980288 7470432 9052711 14940864 18105422 27158133 36210844 54316266 72421688 81474399 108632532 144843376 162948798 217265064 289686752 325897596 434530128 579373504 651795192 869060256 1303590384 1738120512 2607180768 5214361536