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109916994047700 = 223527431677288877
BaseRepresentation
bin11000111111100000001011…
…011000101000111011010100
3112102011221222022012111202110
4120333200023120220323110
5103401340000434011300
61025435100414111020
732103145402541610
oct3077401330507324
9472157868174673
10109916994047700
1132028598678714
12103b2796aab470
13494418847ca58
141d20021c90340
15ca92d73c6550
hex63f80b628ed4

109916994047700 has 288 divisors, whose sum is σ = 374138457606144. Its totient is φ = 24392660866560.

The previous prime is 109916994047699. The next prime is 109916994047747. The reversal of 109916994047700 is 7740499619901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11435662 + ... + 18724538.

It is an arithmetic number, because the mean of its divisors is an integer number (1299091866688).

Almost surely, 2109916994047700 is an apocalyptic number.

109916994047700 is a gapful number since it is divisible by the number (10) 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 109916994047700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187069228803072).

109916994047700 is an abundant number, since it is smaller than the sum of its proper divisors (264221463558444).

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

109916994047700 is a wasteful number, since it uses less digits than its factorization.

109916994047700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7289111 (or 7289104 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 66.

The spelling of 109916994047700 in words is "one hundred nine trillion, nine hundred sixteen billion, nine hundred ninety-four million, forty-seven thousand, seven hundred".