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96023132400 = 243521323318997
BaseRepresentation
bin101100101101101101…
…1001011100011110000
3100011212000110112111010
41121123123023203300
53033123410214100
6112040140550520
76636354105216
oct1313333134360
9304760415433
1096023132400
11377a5611668
1216739b52440
13909392a150
14490cc0ccb6
152770033750
hex165b6cb8f0

96023132400 has 960 divisors, whose sum is σ = 364536668160. Its totient is φ = 21410611200.

The previous prime is 96023132399. The next prime is 96023132459. The reversal of 96023132400 is 423132069.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 989929152 + ... + 989929248.

It is an arithmetic number, because the mean of its divisors is an integer number (379725696).

Almost surely, 296023132400 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 96023132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182268334080).

96023132400 is an abundant number, since it is smaller than the sum of its proper divisors (268513535760).

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

96023132400 is a wasteful number, since it uses less digits than its factorization.

96023132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 96023132400 its reverse (423132069), we get a palindrome (96446264469).

The spelling of 96023132400 in words is "ninety-six billion, twenty-three million, one hundred thirty-two thousand, four hundred".