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166422961120 = 25513257433719
BaseRepresentation
bin1001101011111110010…
…1001101101111100000
3120220120022011101020211
42122333211031233200
510211313234223440
6204241553343504
715011054554243
oct2327745155740
9526508141224
10166422961120
1164641471999
1228306867b94
1312902b56130
1480aa98325a
1544e07c1eea
hex26bf94dbe0

166422961120 has 192 divisors, whose sum is σ = 426640193280. Its totient is φ = 60983083008.

The previous prime is 166422961097. The next prime is 166422961121. The reversal of 166422961120 is 21169224661.

166422961120 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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166422961121) 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, 231464121 + ... + 231464839.

It is an arithmetic number, because the mean of its divisors is an integer number (2222084340).

Almost surely, 2166422961120 is an apocalyptic number.

166422961120 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 166422961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213320096640).

166422961120 is an abundant number, since it is smaller than the sum of its proper divisors (260217232160).

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

166422961120 is a wasteful number, since it uses less digits than its factorization.

166422961120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 166422961120 in words is "one hundred sixty-six billion, four hundred twenty-two million, nine hundred sixty-one thousand, one hundred twenty".