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9934042123232 = 2543151229281743
BaseRepresentation
bin1001000010001111001100…
…0011010100101111100000
31022011200111110211221121122
42100203303003110233200
52300224404240420412
633043345210511412
72043465552551423
oct220436303245740
938150443757548
109934042123232
113190004886a67
12114534a735568
13570a12290686
14264b4b2b39ba
15123619628572
hex908f30d4be0

9934042123232 has 192 divisors, whose sum is σ = 20332308648960. Its totient is φ = 4774823424000.

The previous prime is 9934042123217. The next prime is 9934042123273. The reversal of 9934042123232 is 2323212404399.

It is a super-2 number, since 2×99340421232322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13370177453 + ... + 13370178195.

It is an arithmetic number, because the mean of its divisors is an integer number (105897440880).

Almost surely, 29934042123232 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 9934042123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10166154324480).

9934042123232 is an abundant number, since it is smaller than the sum of its proper divisors (10398266525728).

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

9934042123232 is a wasteful number, since it uses less digits than its factorization.

9934042123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 44.

The spelling of 9934042123232 in words is "nine trillion, nine hundred thirty-four billion, forty-two million, one hundred twenty-three thousand, two hundred thirty-two".