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23245489313280 = 293351340164513
BaseRepresentation
bin1010100100100010000110…
…01000100001011000000000
310001022020200010012000022000
411102101003020201120000
511021323230231011110
6121234455205344000
74616300616015423
oct522210310413000
9101266603160260
1023245489313280
1174523a17882a3
12273516b408000
13cc806a526a10
145a51328779ba
152a4a063e41c0
hex152443221600

23245489313280 has 640 divisors, whose sum is σ = 89144578131840. Its totient is φ = 5707608883200.

The previous prime is 23245489313273. The next prime is 23245489313309. The reversal of 23245489313280 is 8231398454232.

23245489313280 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 5 + 48 + 9 + 313 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 360290304 + ... + 360354816.

It is an arithmetic number, because the mean of its divisors is an integer number (139288403331).

Almost surely, 223245489313280 is an apocalyptic number.

23245489313280 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 23245489313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44572289065920).

23245489313280 is an abundant number, since it is smaller than the sum of its proper divisors (65899088818560).

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

23245489313280 is a wasteful number, since it uses less digits than its factorization.

23245489313280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64959 (or 64937 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 23245489313280 in words is "twenty-three trillion, two hundred forty-five billion, four hundred eighty-nine million, three hundred thirteen thousand, two hundred eighty".