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99324486144 = 2934131710837
BaseRepresentation
bin101110010000000110…
…0110110001000000000
3100111101002112200110000
41130200030312020000
53111404032024034
6113343512240000
710114232126232
oct1344014661000
9314332480400
1099324486144
113913a0a0594
12172bb6a0000
13949b8946c0
144b4345c252
1528b4ca2599
hex1720336200

99324486144 has 400 divisors, whose sum is σ = 338073158808. Its totient is φ = 28760997888.

The previous prime is 99324486143. The next prime is 99324486197. The reversal of 99324486144 is 44168442399.

99324486144 is a `hidden beast` number, since 99 + 32 + 4 + 486 + 1 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68309049600 + 31015436544 = 261360^2 + 176112^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (99324486143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9159894 + ... + 9170730.

Almost surely, 299324486144 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 99324486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169036579404).

99324486144 is an abundant number, since it is smaller than the sum of its proper divisors (238748672664).

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

99324486144 is a wasteful number, since it uses less digits than its factorization.

99324486144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10897 (or 10872 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 99324486144 in words is "ninety-nine billion, three hundred twenty-four million, four hundred eighty-six thousand, one hundred forty-four".