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96284795904 = 2103511291213
BaseRepresentation
bin101100110101100000…
…1010110010000000000
3100012112020211102100000
41121223001112100000
53034142401432104
6112122125200000
76646012155453
oct1315301262000
9305466742300
1096284795904
113791a2912a0
12167b1700000
139105bc461b
14493588349a
152787ebd639
hex166b056400

96284795904 has 528 divisors, whose sum is σ = 325642000320. Its totient is φ = 28147875840.

The previous prime is 96284795869. The next prime is 96284795909. The reversal of 96284795904 is 40959748269.

96284795904 is a `hidden beast` number, since 96 + 28 + 479 + 59 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (96284795909) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 79376802 + ... + 79378014.

Almost surely, 296284795904 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 96284795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162821000160).

96284795904 is an abundant number, since it is smaller than the sum of its proper divisors (229357204416).

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

96284795904 is a wasteful number, since it uses less digits than its factorization.

96284795904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 96284795904 in words is "ninety-six billion, two hundred eighty-four million, seven hundred ninety-five thousand, nine hundred four".