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4123296768 = 21031342219
BaseRepresentation
bin1111010111000100…
…1000010000000000
3101122100201011211010
43311301020100000
531421030444033
61521052320520
7204115305243
oct36561102000
911570634733
104123296768
111826547988
12970a73140
13509331096
142b188b25a
15191ecc863
hexf5c48400

4123296768 has 44 divisors (see below), whose sum is σ = 10990097360. Its totient is φ = 1374431232.

The previous prime is 4123296767. The next prime is 4123296787. The reversal of 4123296768 is 8676923214.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4123296767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 668038 + ... + 674181.

It is an arithmetic number, because the mean of its divisors is an integer number (249774940).

Almost surely, 24123296768 is an apocalyptic number.

4123296768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4123296768 is an abundant number, since it is smaller than the sum of its proper divisors (6866800592).

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

4123296768 is a wasteful number, since it uses less digits than its factorization.

4123296768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342242 (or 1342224 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 4123296768 is about 64212.9018811640. The cubic root of 4123296768 is about 1603.5464002622.

The spelling of 4123296768 in words is "four billion, one hundred twenty-three million, two hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 1342219 2684438 4026657 5368876 8053314 10737752 16106628 21475504 32213256 42951008 64426512 85902016 128853024 171804032 257706048 343608064 515412096 687216128 1030824192 1374432256 2061648384 4123296768