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107439160320 = 2103352333791
BaseRepresentation
bin110010000001111011…
…1110111110000000000
3101021022121201211202000
41210003313313300000
53230013411112240
6121205030024000
710522304536362
oct1440367676000
9337277654660
10107439160320
1141623672388
12189a51a8000
13a192ab855b
1452b3056d32
152bdc3a0430
hex1903df7c00

107439160320 has 352 divisors, whose sum is σ = 398432010240. Its totient is φ = 27403960320.

The previous prime is 107439160313. The next prime is 107439160321. The reversal of 107439160320 is 23061934701.

107439160320 is a `hidden beast` number, since 1 + 0 + 7 + 43 + 9 + 1 + 603 + 2 + 0 = 666.

107439160320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107439160321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3162625 + ... + 3196415.

It is an arithmetic number, because the mean of its divisors is an integer number (1131909120).

Almost surely, 2107439160320 is an apocalyptic number.

107439160320 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 107439160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199216005120).

107439160320 is an abundant number, since it is smaller than the sum of its proper divisors (290992849920).

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

107439160320 is a wasteful number, since it uses less digits than its factorization.

107439160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33848 (or 33824 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 107439160320 in words is "one hundred seven billion, four hundred thirty-nine million, one hundred sixty thousand, three hundred twenty".