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109609398990 = 23357313181503
BaseRepresentation
bin110011000010100111…
…0101011001011001110
3101110220212102101112000
41212011032223023032
53243440001231430
6122204233453130
710630136343000
oct1460516531316
9343825371460
10109609398990
1142537714863
12192abb711a6
13a44a5c9750
14543b388370
152cb7b8de60
hex19853ab2ce

109609398990 has 512 divisors, whose sum is σ = 369847296000. Its totient is φ = 22952885760.

The previous prime is 109609398979. The next prime is 109609398991. The reversal of 109609398990 is 99893906901.

109609398990 is a `hidden beast` number, since 10 + 9 + 609 + 3 + 9 + 8 + 9 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109609398991) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 217911079 + ... + 217911581.

It is an arithmetic number, because the mean of its divisors is an integer number (722358000).

Almost surely, 2109609398990 is an apocalyptic number.

109609398990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109609398990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648000).

109609398990 is an abundant number, since it is smaller than the sum of its proper divisors (260237897010).

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

109609398990 is a wasteful number, since it uses less digits than its factorization.

109609398990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 63.

The spelling of 109609398990 in words is "one hundred nine billion, six hundred nine million, three hundred ninety-eight thousand, nine hundred ninety".