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97356430080 = 28325721313267
BaseRepresentation
bin101101010101011100…
…1010011101100000000
3100022021221022002001200
41122222321103230000
53043341221230310
6112420330101200
710014404000400
oct1325271235400
9308257262050
1097356430080
113831a191978
1216a5057a800
139246c230a0
1449d7d1a800
1527ec0ee9c0
hex16aae53b00

97356430080 has 648 divisors, whose sum is σ = 422011083312. Its totient is φ = 20539588608.

The previous prime is 97356430069. The next prime is 97356430081. The reversal of 97356430080 is 8003465379.

97356430080 is a `hidden beast` number, since 9 + 7 + 3 + 564 + 3 + 0 + 0 + 80 = 666.

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 (97356430081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7331607 + ... + 7344873.

Almost surely, 297356430080 is an apocalyptic number.

97356430080 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 97356430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211005541656).

97356430080 is an abundant number, since it is smaller than the sum of its proper divisors (324654653232).

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

97356430080 is a wasteful number, since it uses less digits than its factorization.

97356430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13321 (or 13297 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 97356430080 in words is "ninety-seven billion, three hundred fifty-six million, four hundred thirty thousand, eighty".