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45096045280 = 25511137972473
BaseRepresentation
bin101001111111111011…
…110000101011100000
311022101211011110102021
4221333323300223200
51214324041422110
632414500431224
73154344026446
oct517773605340
9138354143367
1045096045280
11181415a6310
1288a66a8514
134338a9b880
14227b310b96
15128e0b12da
hexa7fef0ae0

45096045280 has 192 divisors, whose sum is σ = 125372899008. Its totient is φ = 15112028160.

The previous prime is 45096045227. The next prime is 45096045289. The reversal of 45096045280 is 8254069054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45096045289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18234124 + ... + 18236596.

It is an arithmetic number, because the mean of its divisors is an integer number (652983849).

Almost surely, 245096045280 is an apocalyptic number.

45096045280 is a gapful number since it is divisible by the number (40) 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 45096045280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62686449504).

45096045280 is an abundant number, since it is smaller than the sum of its proper divisors (80276853728).

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

45096045280 is a wasteful number, since it uses less digits than its factorization.

45096045280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 45096045280 in words is "forty-five billion, ninety-six million, forty-five thousand, two hundred eighty".