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98324087040 = 2832529294313
BaseRepresentation
bin101101110010010010…
…0101000000100000000
3100101210101010010212100
41123210210220010000
53102331431241130
6113100334230400
710050363643614
oct1334444500400
9311711103770
1098324087040
1138776424973
1217080655400
13936c54797a
144a8a649344
152857042c60
hex16e4928100

98324087040 has 216 divisors, whose sum is σ = 351923022360. Its totient is φ = 25315540992.

The previous prime is 98324087039. The next prime is 98324087041. The reversal of 98324087040 is 4078042389.

It is an interprime number because it is at equal distance from previous prime (98324087039) and next prime (98324087041).

It can be written as a sum of positive squares in 4 ways, for example, as 7226360064 + 91097726976 = 85008^2 + 301824^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (98324087041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186924 + ... + 481236.

Almost surely, 298324087040 is an apocalyptic number.

98324087040 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 98324087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175961511180).

98324087040 is an abundant number, since it is smaller than the sum of its proper divisors (253598935320).

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

98324087040 is a wasteful number, since it uses less digits than its factorization.

98324087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294369 (or 294352 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 98324087040 in words is "ninety-eight billion, three hundred twenty-four million, eighty-seven thousand, forty".