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96843629064 = 2337132313114717
BaseRepresentation
bin101101000110001010…
…1001000001000001000
3100020222012101002022110
41122030111020020020
53041313432112224
6112253411022320
76665606156610
oct1321425101010
9306865332273
1096843629064
1138086781986
121692889a9a0
139194908530
144989b91a40
1527bc0a8929
hex168c548208

96843629064 has 256 divisors, whose sum is σ = 313330913280. Its totient is φ = 24242549760.

The previous prime is 96843629039. The next prime is 96843629101. The reversal of 96843629064 is 46092634869.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 96843628995 and 96843629013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6573034 + ... + 6587750.

It is an arithmetic number, because the mean of its divisors is an integer number (1223948880).

Almost surely, 296843629064 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 96843629064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156665456640).

96843629064 is an abundant number, since it is smaller than the sum of its proper divisors (216487284216).

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

96843629064 is a wasteful number, since it uses less digits than its factorization.

96843629064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14900 (or 14896 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 96843629064 in words is "ninety-six billion, eight hundred forty-three million, six hundred twenty-nine thousand, sixty-four".