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4122246816 = 25341590373
BaseRepresentation
bin1111010110110100…
…0111111010100000
3101122021201211120000
43311231013322200
531420243344231
61521014020000
7204103343202
oct36555077240
911567654500
104122246816
1118259a0056
12970647600
135090541cc
142b1696772
15191d716e6
hexf5b47ea0

4122246816 has 60 divisors (see below), whose sum is σ = 12123421002. Its totient is φ = 1374081408.

The previous prime is 4122246811. The next prime is 4122246839. The reversal of 4122246816 is 6186422214.

4122246816 is a `hidden beast` number, since 412 + 224 + 6 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3507008400 + 615238416 = 59220^2 + 24804^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4122246811) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 792595 + ... + 797778.

Almost surely, 24122246816 is an apocalyptic number.

It is an amenable number.

4122246816 is an abundant number, since it is smaller than the sum of its proper divisors (8001174186).

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

4122246816 is a wasteful number, since it uses less digits than its factorization.

4122246816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590395 (or 1590378 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4122246816 is about 64204.7258073734. The cubic root of 4122246816 is about 1603.4102802453.

The spelling of 4122246816 in words is "four billion, one hundred twenty-two million, two hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 1590373 3180746 4771119 6361492 9542238 12722984 14313357 19084476 25445968 28626714 38168952 42940071 50891936 57253428 76337904 85880142 114506856 128820213 152675808 171760284 229013712 257640426 343520568 458027424 515280852 687041136 1030561704 1374082272 2061123408 4122246816