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109857762780 = 223517737571949
BaseRepresentation
bin110011001010000001…
…0000110110111011100
3101111120011202120120220
41212110002012313130
53244442041402110
6122245025041340
710636243401453
oct1462402066734
9344504676526
10109857762780
1142654930197
121935b186250
13a489bb847c
145462359b9a
152cce89d370
hex1994086ddc

109857762780 has 192 divisors, whose sum is σ = 330763305600. Its totient is φ = 27144585216.

The previous prime is 109857762779. The next prime is 109857762829. The reversal of 109857762780 is 87267758901.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 56365246 + ... + 56367194.

It is an arithmetic number, because the mean of its divisors is an integer number (1722725550).

Almost surely, 2109857762780 is an apocalyptic number.

109857762780 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 109857762780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165381652800).

109857762780 is an abundant number, since it is smaller than the sum of its proper divisors (220905542820).

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

109857762780 is a wasteful number, since it uses less digits than its factorization.

109857762780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 60.

The spelling of 109857762780 in words is "one hundred nine billion, eight hundred fifty-seven million, seven hundred sixty-two thousand, seven hundred eighty".