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98444844960 = 253571123173107
BaseRepresentation
bin101101110101111000…
…1010001111110100000
3100102002210100021120220
41123223301101332200
53103103340014320
6113120330403040
710053361242540
oct1335361217640
9312083307526
1098444844960
1138828604100
12170b4b90480
13938b578867
144a9c6c1320
152862947e40
hex16ebc51fa0

98444844960 has 1152 divisors, whose sum is σ = 411432763392. Its totient is φ = 19342540800.

The previous prime is 98444844959. The next prime is 98444844977. The reversal of 98444844960 is 6944844489.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 98444844894 and 98444844903.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 920045227 + ... + 920045333.

It is an arithmetic number, because the mean of its divisors is an integer number (357146496).

Almost surely, 298444844960 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 98444844960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205716381696).

98444844960 is an abundant number, since it is smaller than the sum of its proper divisors (312987918432).

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

98444844960 is a wasteful number, since it uses less digits than its factorization.

98444844960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 98444844960 in words is "ninety-eight billion, four hundred forty-four million, eight hundred forty-four thousand, nine hundred sixty".