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99855842268 = 223721324124509
BaseRepresentation
bin101110011111111011…
…1110011101111011100
3100112202010101101000110
41130333313303233130
53114001043423033
6113512333130020
710133343440400
oct1347767635734
9315663341013
1099855842268
1139392024286
1217429629910
1395549a7b00
144b93c57100
1528e6761363
hex173fdf3bdc

99855842268 has 216 divisors, whose sum is σ = 300660640560. Its totient is φ = 25692226560.

The previous prime is 99855842243. The next prime is 99855842299. The reversal of 99855842268 is 86224855899.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 99855842199 and 99855842208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4061998 + ... + 4086506.

It is an arithmetic number, because the mean of its divisors is an integer number (1391947410).

Almost surely, 299855842268 is an apocalyptic number.

99855842268 is a gapful number since it is divisible by the number (98) 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 99855842268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150330320280).

99855842268 is an abundant number, since it is smaller than the sum of its proper divisors (200804798292).

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

99855842268 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (99855842267) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (24597).

99855842268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24597 (or 24575 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 66.

The spelling of 99855842268 in words is "ninety-nine billion, eight hundred fifty-five million, eight hundred forty-two thousand, two hundred sixty-eight".