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94137049738368 = 273271323292635119
BaseRepresentation
bin10101011001110111111101…
…011010001110110010000000
3110100022102011212001001000100
4111121313331122032302000
544314320134213111433
6532113544051122400
725554114564162360
oct2531677532166200
9410272155031010
1094137049738368
1127aa433147a70a
12a6844835a3400
13406b116389bc0
1419363868b49a0
15ad3ac253bb13
hex559dfd68ec80

94137049738368 has 1536 divisors, whose sum is σ = 361333260288000. Its totient is φ = 22837365669888.

The previous prime is 94137049738307. The next prime is 94137049738373. The reversal of 94137049738368 is 86383794073149.

94137049738368 is a `hidden beast` number, since 9 + 4 + 1 + 3 + 70 + 497 + 3 + 8 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 94137049738296 and 94137049738305.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18389731713 + ... + 18389736831.

It is an arithmetic number, because the mean of its divisors is an integer number (235243008000).

Almost surely, 294137049738368 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 94137049738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180666630144000).

94137049738368 is an abundant number, since it is smaller than the sum of its proper divisors (267196210549632).

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

94137049738368 is a wasteful number, since it uses less digits than its factorization.

94137049738368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 94137049738368 in words is "ninety-four trillion, one hundred thirty-seven billion, forty-nine million, seven hundred thirty-eight thousand, three hundred sixty-eight".