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99985826304 = 293371379481
BaseRepresentation
bin101110100011110011…
…1101010001000000000
3100120002011222020121000
41131013213222020000
53114232332420204
6113533255132000
710136512333530
oct1350747521000
9316064866530
1099985826304
1139449435201
1217465074000
1395758b9240
144ba72114c0
152902d8a039
hex17479ea200

99985826304 has 320 divisors, whose sum is σ = 364269185280. Its totient is φ = 26369556480.

The previous prime is 99985826287. The next prime is 99985826371. The reversal of 99985826304 is 40362858999.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1218244 + ... + 1297724.

It is an arithmetic number, because the mean of its divisors is an integer number (1138341204).

Almost surely, 299985826304 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 99985826304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182134592640).

99985826304 is an abundant number, since it is smaller than the sum of its proper divisors (264283358976).

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

99985826304 is a wasteful number, since it uses less digits than its factorization.

99985826304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79528 (or 79506 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 99985826304 in words is "ninety-nine billion, nine hundred eighty-five million, eight hundred twenty-six thousand, three hundred four".