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97007459328 = 2103313269897
BaseRepresentation
bin101101001011000011…
…0000101110000000000
3100021101121122112012000
41122112012011300000
53042132402144303
6112321542304000
710002635541063
oct1322606056000
9307347575160
1097007459328
11381601aaa9a
1216973728000
1391bc83a510
1449a383a8da
1527cb66ada3
hex1696185c00

97007459328 has 176 divisors, whose sum is σ = 309389475360. Its totient is φ = 29848338432.

The previous prime is 97007459293. The next prime is 97007459357. The reversal of 97007459328 is 82395470079.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224476 + ... + 494372.

Almost surely, 297007459328 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 97007459328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154694737680).

97007459328 is an abundant number, since it is smaller than the sum of its proper divisors (212382016032).

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

97007459328 is a wasteful number, since it uses less digits than its factorization.

97007459328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269939 (or 269915 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 97007459328 in words is "ninety-seven billion, seven million, four hundred fifty-nine thousand, three hundred twenty-eight".