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9870442993350 = 232521923771101229
BaseRepresentation
bin1000111110100010010000…
…1111111001011011000110
31021221121100010212101211200
42033220210033321123012
52243204131401241400
632554230252443330
72036054531064612
oct217504417713306
937847303771750
109870442993350
1131660388253a5
121134b5b479546
13567a17c99444
14261a3681a342
15121b45e36b00
hex8fa243f96c6

9870442993350 has 864 divisors, whose sum is σ = 29566190946240. Its totient is φ = 2357994240000.

The previous prime is 9870442993321. The next prime is 9870442993361. The reversal of 9870442993350 is 533992440789.

9870442993350 is a `hidden beast` number, since 9 + 8 + 7 + 0 + 4 + 4 + 299 + 335 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 43102371036 + ... + 43102371264.

It is an arithmetic number, because the mean of its divisors is an integer number (34220128410).

Almost surely, 29870442993350 is an apocalyptic number.

9870442993350 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9870442993350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14783095473120).

9870442993350 is an abundant number, since it is smaller than the sum of its proper divisors (19695747952890).

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

9870442993350 is a wasteful number, since it uses less digits than its factorization.

9870442993350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 9870442993350 in words is "nine trillion, eight hundred seventy billion, four hundred forty-two million, nine hundred ninety-three thousand, three hundred fifty".