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99114734400 = 263521117910487
BaseRepresentation
bin101110001001110110…
…0101101001101000000
3100110211110212012010220
41130103230231031000
53110441333000100
6113311020423040
710106104225143
oct1342354551500
9313743765126
1099114734400
1139041757a40
12172613a7a80
1394672a4846
144b2365c05a
1528a166daa0
hex1713b2d340

99114734400 has 336 divisors, whose sum is σ = 356756451840. Its totient is φ = 23891302400.

The previous prime is 99114734357. The next prime is 99114734423. The reversal of 99114734400 is 443741199.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9445957 + ... + 9456443.

Almost surely, 299114734400 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 99114734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178378225920).

99114734400 is an abundant number, since it is smaller than the sum of its proper divisors (257641717440).

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

99114734400 is a wasteful number, since it uses less digits than its factorization.

99114734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10702 (or 10687 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 99114734400 in words is "ninety-nine billion, one hundred fourteen million, seven hundred thirty-four thousand, four hundred".