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99723413088 = 2535134124061
BaseRepresentation
bin101110011011111111…
…0101000011001100000
3100112101220012021100000
41130313332220121200
53113213143204323
6113451242500000
710130145011445
oct1346776503140
9315356167300
1099723413088
11393242a3282
12173b1204600
13953341b750
144b804239cc
1528d9d02e43
hex1737fa8660

99723413088 has 288 divisors, whose sum is σ = 324452392992. Its totient is φ = 29934489600.

The previous prime is 99723413081. The next prime is 99723413089. The reversal of 99723413088 is 88031432799.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99723413081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4132578 + ... + 4156638.

It is an arithmetic number, because the mean of its divisors is an integer number (1126570809).

Almost surely, 299723413088 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 99723413088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162226196496).

99723413088 is an abundant number, since it is smaller than the sum of its proper divisors (224728979904).

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

99723413088 is a wasteful number, since it uses less digits than its factorization.

99723413088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24140 (or 24120 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 99723413088 in words is "ninety-nine billion, seven hundred twenty-three million, four hundred thirteen thousand, eighty-eight".