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109317143808 = 2834172397139
BaseRepresentation
bin110010111001111001…
…1110011110100000000
3101110011111111021210000
41211303303303310000
53242340142100213
6122115233440000
710616660251035
oct1456363636400
9343144437700
10109317143808
11423a7750154
121922a110000
13a401bb0ba2
14541062d38c
152c9c1aec73
hex1973cf3d00

109317143808 has 720 divisors, whose sum is σ = 366474810240. Its totient is φ = 32232701952.

The previous prime is 109317143801. The next prime is 109317143821. The reversal of 109317143808 is 808341713901.

109317143808 is a `hidden beast` number, since 10 + 93 + 171 + 4 + 380 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109317143801) 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 79 ways as a sum of consecutive naturals, for example, 786454203 + ... + 786454341.

It is an arithmetic number, because the mean of its divisors is an integer number (508992792).

Almost surely, 2109317143808 is an apocalyptic number.

109317143808 is a gapful number since it is divisible by the number (18) 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 109317143808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183237405120).

109317143808 is an abundant number, since it is smaller than the sum of its proper divisors (257157666432).

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

109317143808 is a wasteful number, since it uses less digits than its factorization.

109317143808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 109317143808 in words is "one hundred nine billion, three hundred seventeen million, one hundred forty-three thousand, eight hundred eight".