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2445520896 = 21238713
BaseRepresentation
bin1001000111000011…
…1011000000000000
320022102200100000000
42101300323000000
520002023132041
61042400000000
7114413404350
oct22160730000
96272610000
102445520896
111045484055
12583000000
132cc8663b0
14192b0cb60
15e4a68bb6
hex91c3b000

2445520896 has 468 divisors, whose sum is σ = 9028054672. Its totient is φ = 644972544.

The previous prime is 2445520849. The next prime is 2445520921. The reversal of 2445520896 is 6980255442.

2445520896 is a `hidden beast` number, since 2 + 4 + 4 + 552 + 0 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (468).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188116986 + ... + 188116998.

Almost surely, 22445520896 is an apocalyptic number.

2445520896 is a gapful number since it is divisible by the number (26) 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 2445520896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514027336).

2445520896 is an abundant number, since it is smaller than the sum of its proper divisors (6582533776).

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

2445520896 is an frugal number, since it uses more digits than its factorization.

2445520896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2445520896 is about 49452.2082014545. The cubic root of 2445520896 is about 1347.2777141787.

The spelling of 2445520896 in words is "two billion, four hundred forty-five million, five hundred twenty thousand, eight hundred ninety-six".