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99892340856 = 233571121931103
BaseRepresentation
bin101110100001000001…
…1000010100001111000
3100112211200001200200000
41131002003002201320
53114034414401411
6113520115313000
710134265613310
oct1350203024170
9315750050600
1099892340856
1139400693200
12174398ab760
13955c4169c9
144b98a38440
1528e9a70956
hex17420c2878

99892340856 has 1152 divisors, whose sum is σ = 386676326400. Its totient is φ = 23556614400.

The previous prime is 99892340851. The next prime is 99892340929. The reversal of 99892340856 is 65804329899.

99892340856 is a `hidden beast` number, since 9 + 98 + 92 + 3 + 408 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 99892340793 and 99892340802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99892340851) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 969828501 + ... + 969828603.

Almost surely, 299892340856 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 99892340856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193338163200).

99892340856 is an abundant number, since it is smaller than the sum of its proper divisors (286783985544).

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

99892340856 is a wasteful number, since it uses less digits than its factorization.

99892340856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 99892340856 in words is "ninety-nine billion, eight hundred ninety-two million, three hundred forty thousand, eight hundred fifty-six".