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23303654976 = 26371071311237
BaseRepresentation
bin10101101101000000…
…011000111001000000
32020011001221022220110
4111231000120321000
5340211213424401
614412222111320
71453325541030
oct255500307100
966131838813
1023303654976
11997933a998
12462441b540
132274c69774
1411b0d738c0
15915ce19d6
hex56d018e40

23303654976 has 224 divisors, whose sum is σ = 71725243392. Its totient is φ = 6540318720.

The previous prime is 23303654953. The next prime is 23303655007. The reversal of 23303654976 is 67945630332.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

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 31 ways as a sum of consecutive naturals, for example, 18838230 + ... + 18839466.

Almost surely, 223303654976 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 23303654976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35862621696).

23303654976 is an abundant number, since it is smaller than the sum of its proper divisors (48421588416).

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

23303654976 is a wasteful number, since it uses less digits than its factorization.

23303654976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 48.

The spelling of 23303654976 in words is "twenty-three billion, three hundred three million, six hundred fifty-four thousand, nine hundred seventy-six".