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99888888900 = 2235237101139641
BaseRepresentation
bin101110100000111010…
…1110111110001000100
3100112211102120022110210
41131001311313301010
53114033023421100
6113515513315420
710134224355303
oct1350165676104
9315742508423
1099888888900
11393a9745749
1217438705b70
13955b7a8728
144b983ba43a
1528e95dcc50
hex1741d77c44

99888888900 has 288 divisors, whose sum is σ = 302389395840. Its totient is φ = 25436160000.

The previous prime is 99888888899. The next prime is 99888888919. The reversal of 99888888900 is 988888899.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155832580 + ... + 155833220.

It is an arithmetic number, because the mean of its divisors is an integer number (1049963180).

Almost surely, 299888888900 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 99888888900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151194697920).

99888888900 is an abundant number, since it is smaller than the sum of its proper divisors (202500506940).

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

99888888900 is a wasteful number, since it uses less digits than its factorization.

99888888900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 75.

The spelling of 99888888900 in words is "ninety-nine billion, eight hundred eighty-eight million, eight hundred eighty-eight thousand, nine hundred".