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BaseRepresentation
bin111101000000001…
…111100000000000
32122022211211221000
4331000033200000
54044002124124
6245320332000
734235245143
oct7500174000
92568754830
101023473664
114857a6a04
12246914000
13134068725
1499cdc05a
155ecbb6c9
hex3d00f800

1023473664 has 192 divisors, whose sum is σ = 3082060800. Its totient is φ = 335536128.

The previous prime is 1023473663. The next prime is 1023473669. The reversal of 1023473664 is 4663743201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023473663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4589457 + ... + 4589679.

It is an arithmetic number, because the mean of its divisors is an integer number (16052400).

Almost surely, 21023473664 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 1023473664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541030400).

1023473664 is an abundant number, since it is smaller than the sum of its proper divisors (2058587136).

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

1023473664 is an equidigital number, since it uses as much as digits as its factorization.

1023473664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 1023473664 is about 31991.7749429443. The cubic root of 1023473664 is about 1007.7641171408.

The spelling of 1023473664 in words is "one billion, twenty-three million, four hundred seventy-three thousand, six hundred sixty-four".