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96851166048 = 25347131921611
BaseRepresentation
bin101101000110011000…
…1111000001101100000
3100020222201120000010000
41122030301320031200
53041322344303143
6112254240340000
76666030220410
oct1321461701540
9306881500100
1096851166048
113808aa5a59a
121692b314600
139196346ca0
14498ab94640
1527bca96bd3
hex168cc78360

96851166048 has 480 divisors, whose sum is σ = 369036138240. Its totient is φ = 24197667840.

The previous prime is 96851166047. The next prime is 96851166091. The reversal of 96851166048 is 84066115869.

96851166048 is a `hidden beast` number, since 9 + 68 + 511 + 6 + 60 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 96851165985 and 96851166003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96851166043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4470763 + ... + 4492373.

It is an arithmetic number, because the mean of its divisors is an integer number (768825288).

Almost surely, 296851166048 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 96851166048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184518069120).

96851166048 is an abundant number, since it is smaller than the sum of its proper divisors (272184972192).

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

96851166048 is a wasteful number, since it uses less digits than its factorization.

96851166048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21672 (or 21655 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 96851166048 in words is "ninety-six billion, eight hundred fifty-one million, one hundred sixty-six thousand, forty-eight".