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8850320022240 = 25325191417722817
BaseRepresentation
bin1000000011001010000000…
…1011100101101011100000
31011100002020000112010110100
42000302200023211223200
52130000423411202430
630453440401102400
71602262115644404
oct200624013455340
934302200463410
108850320022240
112902443a1a474
12bab302327a00
134c27739cb908
14228501a3b104
1510533cc63960
hex80ca02e5ae0

8850320022240 has 288 divisors, whose sum is σ = 31794917001120. Its totient is φ = 2235614625792.

The previous prime is 8850320022157. The next prime is 8850320022241. The reversal of 8850320022240 is 422200230588.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8850320022195 and 8850320022204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8850320022241) 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, 387871312 + ... + 387894128.

It is an arithmetic number, because the mean of its divisors is an integer number (110399017365).

Almost surely, 28850320022240 is an apocalyptic number.

8850320022240 is a gapful number since it is divisible by the number (80) 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 8850320022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15897458500560).

8850320022240 is an abundant number, since it is smaller than the sum of its proper divisors (22944596978880).

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

8850320022240 is a wasteful number, since it uses less digits than its factorization.

8850320022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37034 (or 37023 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 8850320022240 in words is "eight trillion, eight hundred fifty billion, three hundred twenty million, twenty-two thousand, two hundred forty".