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107750378736 = 243371113673719
BaseRepresentation
bin110010001011001101…
…1000100110011110000
3101022010022100101011000
41210112123010303300
53231133044104421
6121255544322000
710533104051610
oct1442633046360
9338108311130
10107750378736
1141773309390
1218a71473300
13a212413670
14530250aa40
152c09878226
hex19166c4cf0

107750378736 has 640 divisors, whose sum is σ = 421573017600. Its totient is φ = 25441827840.

The previous prime is 107750378731. The next prime is 107750378807. The reversal of 107750378736 is 637873057701.

It is a super-2 number, since 2×1077503787362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107750378731) 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 127 ways as a sum of consecutive naturals, for example, 28971085 + ... + 28974803.

It is an arithmetic number, because the mean of its divisors is an integer number (658707840).

Almost surely, 2107750378736 is an apocalyptic number.

107750378736 is a gapful number since it is divisible by the number (16) 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 107750378736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210786508800).

107750378736 is an abundant number, since it is smaller than the sum of its proper divisors (313822638864).

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

107750378736 is a wasteful number, since it uses less digits than its factorization.

107750378736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 107750378736 in words is "one hundred seven billion, seven hundred fifty million, three hundred seventy-eight thousand, seven hundred thirty-six".