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99978744096 = 25337114334949
BaseRepresentation
bin101110100011100110…
…0101001000100100000
3100120001200122102122000
41131013030221010200
53114224024302341
6113532443244000
710136365205640
oct1350714510440
9316050572560
1099978744096
1139445438240
1217462819600
1395742a979a
144ba62ca520
15290243b8b6
hex1747329120

99978744096 has 384 divisors, whose sum is σ = 372024576000. Its totient is φ = 25363860480.

The previous prime is 99978744077. The next prime is 99978744109. The reversal of 99978744096 is 69044787999.

99978744096 is a `hidden beast` number, since 9 + 9 + 97 + 8 + 7 + 440 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 2843230 + ... + 2878178.

It is an arithmetic number, because the mean of its divisors is an integer number (968814000).

Almost surely, 299978744096 is an apocalyptic number.

99978744096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99978744096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186012288000).

99978744096 is an abundant number, since it is smaller than the sum of its proper divisors (272045831904).

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

99978744096 is a wasteful number, since it uses less digits than its factorization.

99978744096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35029 (or 35015 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 99978744096 in words is "ninety-nine billion, nine hundred seventy-eight million, seven hundred forty-four thousand, ninety-six".