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109422766080 = 2113351512621
BaseRepresentation
bin110010111101000011…
…0101110100000000000
3101110102212020110022000
41211322012232200000
53243044212003310
6122133525344000
710622412110505
oct1457206564000
9343385213260
10109422766080
1142451331791
1219259568000
13a41aa42784
1454206854ac
152ca65c54c0
hex197a1ae800

109422766080 has 384 divisors, whose sum is σ = 391689043200. Its totient is φ = 28975104000.

The previous prime is 109422766043. The next prime is 109422766081. The reversal of 109422766080 is 80667224901.

It is a happy number.

109422766080 is a `hidden beast` number, since 10 + 9 + 4 + 2 + 27 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (109422766081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41747170 + ... + 41749790.

It is an arithmetic number, because the mean of its divisors is an integer number (1020023550).

Almost surely, 2109422766080 is an apocalyptic number.

109422766080 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 109422766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195844521600).

109422766080 is an abundant number, since it is smaller than the sum of its proper divisors (282266277120).

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

109422766080 is a wasteful number, since it uses less digits than its factorization.

109422766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 109422766080 in words is "one hundred nine billion, four hundred twenty-two million, seven hundred sixty-six thousand, eighty".