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23042451683328 = 2113711192134921
BaseRepresentation
bin1010011110100111111010…
…01001011011100000000000
310000120211121002001201212120
411033103331021123200000
511010011420112331303
6121001320044324240
74565522301441420
oct517237511334000
9100524532051776
1023042451683328
117384281294820
122701946543680
13cb1b80aa948c
14599391196480
1529e5c1446553
hex14f4fd25b800

23042451683328 has 576 divisors, whose sum is σ = 80833777839360. Its totient is φ = 5670007603200.

The previous prime is 23042451683323. The next prime is 23042451683387. The reversal of 23042451683328 is 82338615424032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23042451683323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170717308 + ... + 170852228.

It is an arithmetic number, because the mean of its divisors is an integer number (140336419860).

Almost surely, 223042451683328 is an apocalyptic number.

23042451683328 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 23042451683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40416888919680).

23042451683328 is an abundant number, since it is smaller than the sum of its proper divisors (57791326156032).

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

23042451683328 is a wasteful number, since it uses less digits than its factorization.

23042451683328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135002 (or 134963 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 23042451683328 in words is "twenty-three trillion, forty-two billion, four hundred fifty-one million, six hundred eighty-three thousand, three hundred twenty-eight".