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23416192768 = 28175380559
BaseRepresentation
bin10101110011101101…
…101011111100000000
32020102220200211201211
4111303231223330000
5340424021132033
614431322135504
71456163232403
oct256355537400
966386624654
1023416192768
119a26915231
124656051594
13229237cc87
1411c1ca9d3a
15920b212cd
hex573b6bf00

23416192768 has 36 divisors (see below), whose sum is σ = 49490390880. Its totient is φ = 11019382784.

The previous prime is 23416192763. The next prime is 23416192777. The reversal of 23416192768 is 86729161432.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23416192763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2685928 + ... + 2694631.

It is an arithmetic number, because the mean of its divisors is an integer number (1374733080).

Almost surely, 223416192768 is an apocalyptic number.

It is an amenable number.

23416192768 is an abundant number, since it is smaller than the sum of its proper divisors (26074198112).

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

23416192768 is an equidigital number, since it uses as much as digits as its factorization.

23416192768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380592 (or 5380578 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The spelling of 23416192768 in words is "twenty-three billion, four hundred sixteen million, one hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 5380559 10761118 21522236 43044472 86088944 91469503 172177888 182939006 344355776 365878012 688711552 731756024 1377423104 1463512048 2927024096 5854048192 11708096384 23416192768