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9923244925440 = 293572112383569
BaseRepresentation
bin1001000001100110111101…
…1111010010001000000000
31022010122122000000110201010
42100121233133102020000
52300040301200103230
633034401545240520
72042634155103600
oct220315737221000
938118560013633
109923244925440
113186474075500
121143236793140
1356c9b1391942
14264405314c00
151231d67989b0
hex9066f7d2200

9923244925440 has 1440 divisors, whose sum is σ = 40739852482560. Its totient is φ = 2052974837760.

The previous prime is 9923244925423. The next prime is 9923244925441. The reversal of 9923244925440 is 445294423299.

It is a super-2 number, since 2×99232449254402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9923244925441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17439797476 + ... + 17439798044.

It is an arithmetic number, because the mean of its divisors is an integer number (28291564224).

Almost surely, 29923244925440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9923244925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20369926241280).

9923244925440 is an abundant number, since it is smaller than the sum of its proper divisors (30816607557120).

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

9923244925440 is a wasteful number, since it uses less digits than its factorization.

9923244925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 9923244925440 in words is "nine trillion, nine hundred twenty-three billion, two hundred forty-four million, nine hundred twenty-five thousand, four hundred forty".