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4115096064 = 2932893033
BaseRepresentation
bin1111010101000111…
…0110001000000000
3101121210021112120100
43311101312020000
531411431033224
61520200442400
7203655511422
oct36521661000
911553245510
104115096064
111821956642
1296a179400
1350771c4b1
142b0754812
1519140cac9
hexf5476200

4115096064 has 60 divisors (see below), whose sum is σ = 11876459166. Its totient is φ = 1371697152.

The previous prime is 4115096059. The next prime is 4115096099. The reversal of 4115096064 is 4606905114.

4115096064 is a `hidden beast` number, since 41 + 1 + 5 + 0 + 9 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3480056064 + 635040000 = 58992^2 + 25200^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 441909 + ... + 451124.

Almost surely, 24115096064 is an apocalyptic number.

It is an amenable number.

4115096064 is an abundant number, since it is smaller than the sum of its proper divisors (7761363102).

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

4115096064 is an equidigital number, since it uses as much as digits as its factorization.

4115096064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893057 (or 893038 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4115096064 is about 64149.0145208794. The cubic root of 4115096064 is about 1602.4826125711.

The spelling of 4115096064 in words is "four billion, one hundred fifteen million, ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 893033 1786066 2679099 3572132 5358198 7144264 8037297 10716396 14288528 16074594 21432792 28577056 32149188 42865584 57154112 64298376 85731168 114308224 128596752 171462336 228616448 257193504 342924672 457232896 514387008 685849344 1028774016 1371698688 2057548032 4115096064