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67290435216 = 2432216172
BaseRepresentation
bin111110101010110100…
…101000111010010000
320102200120211021202100
4332222310220322100
52100302322411331
650525055320400
74601343155604
oct765264507220
9212616737670
1067290435216
11265a0772a34
121105b520100
136464c92494
143384c13504
151b3c7dbae6
hexfaad28e90

67290435216 has 45 divisors (see below), whose sum is σ = 188328471721. Its totient is φ = 22429107456.

The previous prime is 67290435109. The next prime is 67290435253. The reversal of 67290435216 is 61253409276.

The square root of 67290435216 is 259404.

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

67290435216 is a `hidden beast` number, since 6 + 7 + 290 + 4 + 352 + 1 + 6 = 666.

67290435216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12016544400 + 55273890816 = 109620^2 + 235104^2 .

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, 3102040 + ... + 3123656.

Almost surely, 267290435216 is an apocalyptic number.

67290435216 is the 259404-th square number.

It is an amenable number.

67290435216 is an abundant number, since it is smaller than the sum of its proper divisors (121038036505).

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

67290435216 is an frugal number, since it uses more digits than its factorization.

67290435216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43248 (or 21622 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 67290435216 in words is "sixty-seven billion, two hundred ninety million, four hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 21617 43234 64851 86468 129702 172936 194553 259404 345872 389106 518808 778212 1037616 1556424 3112848 467294689 934589378 1401884067 1869178756 2803768134 3738357512 4205652201 5607536268 7476715024 8411304402 11215072536 16822608804 22430145072 33645217608 67290435216