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99897846048 = 253372111329569
BaseRepresentation
bin101110100001001100…
…0000010100100100000
3100112212001102101101000
41131002120002210200
53114042322033143
6113520433312000
710134363452400
oct1350230024440
9315761371330
1099897846048
1139403803350
121743b705600
1395605c3710
144b9966c800
1528ea2abbd3
hex1742602920

99897846048 has 1152 divisors, whose sum is σ = 412648992000. Its totient is φ = 23084974080.

The previous prime is 99897846047. The next prime is 99897846073. The reversal of 99897846048 is 84064879899.

99897846048 is a `hidden beast` number, since 9 + 9 + 8 + 9 + 7 + 8 + 4 + 604 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (99897846047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175567108 + ... + 175567676.

It is an arithmetic number, because the mean of its divisors is an integer number (358202250).

Almost surely, 299897846048 is an apocalyptic number.

99897846048 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99897846048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206324496000).

99897846048 is an abundant number, since it is smaller than the sum of its proper divisors (312751145952).

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

99897846048 is a wasteful number, since it uses less digits than its factorization.

99897846048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 99897846048 in words is "ninety-nine billion, eight hundred ninety-seven million, eight hundred forty-six thousand, forty-eight".