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99316191744 = 293572111481
BaseRepresentation
bin101110001111110110…
…1001101001000000000
3100111100111221021200000
41130133231031020000
53111344421113434
6113343014400000
710114101462300
oct1343755151000
9314314837600
1099316191744
1139135445910
12172b8960000
139499c4c283
144b422dd600
1528b41b4b99
hex171fb4d200

99316191744 has 720 divisors, whose sum is σ = 377469027936. Its totient is φ = 25778995200.

The previous prime is 99316191719. The next prime is 99316191749. The reversal of 99316191744 is 44719161399.

99316191744 is a `hidden beast` number, since 9 + 9 + 3 + 1 + 619 + 17 + 4 + 4 = 666.

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 (99316191749) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 67059484 + ... + 67060964.

Almost surely, 299316191744 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 99316191744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188734513968).

99316191744 is an abundant number, since it is smaller than the sum of its proper divisors (278152836192).

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

99316191744 is a wasteful number, since it uses less digits than its factorization.

99316191744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1504 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 99316191744 in words is "ninety-nine billion, three hundred sixteen million, one hundred ninety-one thousand, seven hundred forty-four".