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109923790080 = 2835132975931
BaseRepresentation
bin110011001011111110…
…1111110110100000000
3101111201210000010000110
41212113331332310000
53300110442240310
6122255344151320
710641004541046
oct1462775766400
9344653003013
10109923790080
1142689128505
1219379308540
13a49a795990
14546b026396
152cd5591d20
hex1997f7ed00

109923790080 has 288 divisors, whose sum is σ = 391116620160. Its totient is φ = 26124779520.

The previous prime is 109923790069. The next prime is 109923790121. The reversal of 109923790080 is 80097329901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1409715 + ... + 1485645.

It is an arithmetic number, because the mean of its divisors is an integer number (1358043820).

Almost surely, 2109923790080 is an apocalyptic number.

109923790080 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 109923790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195558310080).

109923790080 is an abundant number, since it is smaller than the sum of its proper divisors (281192830080).

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

109923790080 is a wasteful number, since it uses less digits than its factorization.

109923790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75997 (or 75983 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The spelling of 109923790080 in words is "one hundred nine billion, nine hundred twenty-three million, seven hundred ninety thousand, eighty".