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9375745450896 = 2432111723912011213
BaseRepresentation
bin1000100001101111010111…
…1110100010001110010000
31020012022102211011102220200
42020123311332202032100
52212103011313412041
631535054043335200
71655242466256156
oct210336576421620
936168384142820
109375745450896
112a9525a977820
1210750ba221500
1353018a558816
14245b0790b3d6
15113d40aa21b6
hex886f5fa2390

9375745450896 has 480 divisors, whose sum is σ = 30485490946560. Its totient is φ = 2658410496000.

The previous prime is 9375745450873. The next prime is 9375745450901. The reversal of 9375745450896 is 6980545475739.

9375745450896 is a `hidden beast` number, since 9 + 3 + 7 + 5 + 74 + 545 + 0 + 8 + 9 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7729385586 + ... + 7729386798.

It is an arithmetic number, because the mean of its divisors is an integer number (63511439472).

Almost surely, 29375745450896 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 9375745450896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15242745473280).

9375745450896 is an abundant number, since it is smaller than the sum of its proper divisors (21109745495664).

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

9375745450896 is a wasteful number, since it uses less digits than its factorization.

9375745450896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 9375745450896 in words is "nine trillion, three hundred seventy-five billion, seven hundred forty-five million, four hundred fifty thousand, eight hundred ninety-six".