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2103292464 = 243731331317
BaseRepresentation
bin111110101011101…
…1011001000110000
312102120201022211220
41331113123020300
513301420324324
6544412505040
7103056456000
oct17527331060
95376638756
102103292464
1198a287839
124a847b180
132769a1670
1415d4a6000
15c49b7b79
hex7d5db230

2103292464 has 320 divisors, whose sum is σ = 7066214400. Its totient is φ = 535127040.

The previous prime is 2103292463. The next prime is 2103292481. The reversal of 2103292464 is 4642923012.

It is not an unprimeable number, because it can be changed into a prime (2103292463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6634834 + ... + 6635150.

It is an arithmetic number, because the mean of its divisors is an integer number (22081920).

Almost surely, 22103292464 is an apocalyptic number.

2103292464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103292464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533107200).

2103292464 is an abundant number, since it is smaller than the sum of its proper divisors (4962921936).

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

2103292464 is a wasteful number, since it uses less digits than its factorization.

2103292464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2103292464 is about 45861.6666073094. Note that the first 4 decimals coincide. The cubic root of 2103292464 is about 1281.2480632800.

The spelling of 2103292464 in words is "two billion, one hundred three million, two hundred ninety-two thousand, four hundred sixty-four".