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2072554848 = 2532713312551
BaseRepresentation
bin111101110001000…
…1010110101100000
312100102212200202200
41323202022311200
513221033223343
6541354013200
7102234265650
oct17342126540
95312780680
102072554848
119739a3151
1249a117200
132704cba20
14159384360
15c1e454d3
hex7b88ad60

2072554848 has 288 divisors, whose sum is σ = 7490875392. Its totient is φ = 528768000.

The previous prime is 2072554831. The next prime is 2072554859. The reversal of 2072554848 is 8484552702.

2072554848 is a `hidden beast` number, since 20 + 72 + 554 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811173 + ... + 813723.

It is an arithmetic number, because the mean of its divisors is an integer number (26009984).

Almost surely, 22072554848 is an apocalyptic number.

2072554848 is a gapful number since it is divisible by the number (28) 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 2072554848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745437696).

2072554848 is an abundant number, since it is smaller than the sum of its proper divisors (5418320544).

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

2072554848 is a wasteful number, since it uses less digits than its factorization.

2072554848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 2072554848 is about 45525.3209543876. The cubic root of 2072554848 is about 1274.9760032392.

The spelling of 2072554848 in words is "two billion, seventy-two million, five hundred fifty-four thousand, eight hundred forty-eight".