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942745242096 = 243372912018951
BaseRepresentation
bin11011011011111111111…
…11101100100111110000
310100010101112111100221000
431231333333230213300
5110421220240221341
62001031410202000
7125053051224420
oct15557777544760
93303345440830
10942745242096
113338a8125959
12132863583300
136ab92505978
14338b4402480
15197ca0338b6
hexdb7ffec9f0

942745242096 has 320 divisors, whose sum is σ = 3202266470400. Its totient is φ = 259822080000.

The previous prime is 942745242091. The next prime is 942745242107. The reversal of 942745242096 is 690242547249.

942745242096 is a `hidden beast` number, since 9 + 4 + 2 + 7 + 4 + 524 + 20 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (942745242091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105318421 + ... + 105327371.

It is an arithmetic number, because the mean of its divisors is an integer number (10007082720).

Almost surely, 2942745242096 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 942745242096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601133235200).

942745242096 is an abundant number, since it is smaller than the sum of its proper divisors (2259521228304).

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

942745242096 is a wasteful number, since it uses less digits than its factorization.

942745242096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10205 (or 10193 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 942745242096 in words is "nine hundred forty-two billion, seven hundred forty-five million, two hundred forty-two thousand, ninety-six".