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99684300240 = 24335727723801
BaseRepresentation
bin101110011010110100…
…1011011010111010000
3100112022011121010121000
41130311221123113100
53113123140101430
6113443324302000
710126161400020
oct1346551332720
9315264533530
1099684300240
1139304209208
12173a00a1900
1395282a5955
144b79161a80
1528d6678e60
hex1735a5b5d0

99684300240 has 320 divisors, whose sum is σ = 393841221120. Its totient is φ = 22701772800.

The previous prime is 99684300193. The next prime is 99684300251. The reversal of 99684300240 is 4200348699.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 4176340 + ... + 4200140.

It is an arithmetic number, because the mean of its divisors is an integer number (1230753816).

Almost surely, 299684300240 is an apocalyptic number.

99684300240 is a gapful number since it is divisible by the number (90) 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 99684300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196920610560).

99684300240 is an abundant number, since it is smaller than the sum of its proper divisors (294156920880).

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

99684300240 is a wasteful number, since it uses less digits than its factorization.

99684300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24107 (or 24095 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 99684300240 in words is "ninety-nine billion, six hundred eighty-four million, three hundred thousand, two hundred forty".