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2573308980 = 22335111313307
BaseRepresentation
bin1001100101100001…
…1001010000110100
320122100010122022000
42121120121100310
520232231341410
61103202535300
7120524523354
oct23130312064
96570118260
102573308980
111100625140
125b9967530
13320189148
141a5a94b64
15100dabdc0
hex99619434

2573308980 has 192 divisors, whose sum is σ = 8802984960. Its totient is φ = 618883200.

The previous prime is 2573308979. The next prime is 2573308987. The reversal of 2573308980 is 898033752.

2573308980 is a `hidden beast` number, since 257 + 3 + 308 + 98 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2573308987) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 776487 + ... + 779793.

It is an arithmetic number, because the mean of its divisors is an integer number (45848880).

Almost surely, 22573308980 is an apocalyptic number.

2573308980 is a gapful number since it is divisible by the number (20) 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 2573308980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401492480).

2573308980 is an abundant number, since it is smaller than the sum of its proper divisors (6229675980).

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

2573308980 is a wasteful number, since it uses less digits than its factorization.

2573308980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2573308980 is about 50727.7929738718. The cubic root of 2573308980 is about 1370.3472897243.

The spelling of 2573308980 in words is "two billion, five hundred seventy-three million, three hundred eight thousand, nine hundred eighty".