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98131124520 = 2332511132965731
BaseRepresentation
bin101101101100100010…
…0100010000100101000
3100101021221000122001100
41123121010202010220
53101433031441040
6113025242321400
710042531536642
oct1333104420450
9311257018040
1098131124520
1138687509310
1217027ab9260
13933b585970
144a6cb79892
152845128b30
hex16d9122128

98131124520 has 384 divisors, whose sum is σ = 387608457600. Its totient is φ = 21201868800.

The previous prime is 98131124489. The next prime is 98131124537. The reversal of 98131124520 is 2542113189.

98131124520 is a `hidden beast` number, since 9 + 8 + 1 + 3 + 1 + 124 + 520 = 666.

98131124520 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1460055 + ... + 1525785.

It is an arithmetic number, because the mean of its divisors is an integer number (1009397025).

Almost surely, 298131124520 is an apocalyptic number.

98131124520 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 98131124520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193804228800).

98131124520 is an abundant number, since it is smaller than the sum of its proper divisors (289477333080).

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

98131124520 is a wasteful number, since it uses less digits than its factorization.

98131124520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65801 (or 65794 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 98131124520 in words is "ninety-eight billion, one hundred thirty-one million, one hundred twenty-four thousand, five hundred twenty".