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98424668160 = 214345713163
BaseRepresentation
bin101101110101010010…
…0010100000000000000
3100102001101101012020000
41123222210110000000
53103033203340120
6113114330120000
710053024606210
oct1335244240000
9312041335200
1098424668160
1138818182a65
12170aa280000
139387332b20
144a99b4c240
152860cae990
hex16ea914000

98424668160 has 1200 divisors, whose sum is σ = 436953449856. Its totient is φ = 20639121408.

The previous prime is 98424668141. The next prime is 98424668161. The reversal of 98424668160 is 6186642489.

98424668160 is a `hidden beast` number, since 9 + 8 + 42 + 466 + 81 + 60 = 666.

It is a super-2 number, since 2×984246681602 (a number of 23 digits) contains 22 as substring.

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 = 98424668097 and 98424668106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98424668161) 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, 603832239 + ... + 603832401.

Almost surely, 298424668160 is an apocalyptic number.

98424668160 is a gapful number since it is divisible by the number (90) 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 98424668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218476724928).

98424668160 is an abundant number, since it is smaller than the sum of its proper divisors (338528781696).

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

98424668160 is a wasteful number, since it uses less digits than its factorization.

98424668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 98424668160 in words is "ninety-eight billion, four hundred twenty-four million, six hundred sixty-eight thousand, one hundred sixty".