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23347322368 = 291712721121
BaseRepresentation
bin10101101111100110…
…111101111000000000
32020021010002212022021
4111233212331320000
5340303403303433
614420422051224
71454365652146
oct255746757000
966233085267
1023347322368
1199a0a55947
124636b79b14
132281018666
1411b6a9d596
15919a6a22d
hex56f9bde00

23347322368 has 80 divisors (see below), whose sum is σ = 49784385024. Its totient is φ = 10899947520.

The previous prime is 23347322357. The next prime is 23347322371. The reversal of 23347322368 is 86322374332.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1094848 + ... + 1115968.

Almost surely, 223347322368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23347322368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24892192512).

23347322368 is an abundant number, since it is smaller than the sum of its proper divisors (26437062656).

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

23347322368 is a wasteful number, since it uses less digits than its factorization.

23347322368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21283 (or 21267 counting only the distinct ones).

The product of its digits is 870912, while the sum is 43.

The spelling of 23347322368 in words is "twenty-three billion, three hundred forty-seven million, three hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 128 136 254 256 272 508 512 544 1016 1088 2032 2159 2176 4064 4318 4352 8128 8636 8704 16256 17272 21121 32512 34544 42242 65024 69088 84484 138176 168968 276352 337936 359057 552704 675872 718114 1105408 1351744 1436228 2682367 2703488 2872456 5364734 5406976 5744912 10729468 10813952 11489824 21458936 22979648 42917872 45600239 45959296 85835744 91200478 91918592 171671488 182400956 183837184 343342976 364801912 686685952 729603824 1373371904 1459207648 2918415296 5836830592 11673661184 23347322368