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97244098560 = 212335723797
BaseRepresentation
bin101101010010000110…
…0110011000000000000
3100022000002221001012000
41122210030303000000
53043123442123220
6112401234304000
710011541125300
oct1324414630000
9308002831160
1097244098560
1138271838604
1216a1aa28000
13922988272b
1449c7039600
1527e2311390
hex16a4333000

97244098560 has 1248 divisors, whose sum is σ = 417284925120. Its totient is φ = 21403533312.

The previous prime is 97244098559. The next prime is 97244098577. The reversal of 97244098560 is 6589044279.

97244098560 is a `hidden beast` number, since 9 + 72 + 4 + 4 + 0 + 9 + 8 + 560 = 666.

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 = 97244098497 and 97244098506.

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, 1002516432 + ... + 1002516528.

Almost surely, 297244098560 is an apocalyptic number.

97244098560 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 97244098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208642462560).

97244098560 is an abundant number, since it is smaller than the sum of its proper divisors (320040826560).

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

97244098560 is a wasteful number, since it uses less digits than its factorization.

97244098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 97244098560 in words is "ninety-seven billion, two hundred forty-four million, ninety-eight thousand, five hundred sixty".