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166226037120 = 273251113201809
BaseRepresentation
bin1001101011001111011…
…0000000100110000000
3120220001120121121022100
42122303312000212000
510210412331141440
6204210240510400
715003144000633
oct2326366004600
9526046547270
10166226037120
116455029aa90
122827091b400
13128a1107c60
14808c761c1a
1544cd374230
hex26b3d80980

166226037120 has 384 divisors, whose sum is σ = 674352151200. Its totient is φ = 37197250560.

The previous prime is 166226037091. The next prime is 166226037121. The reversal of 166226037120 is 21730622661.

166226037120 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 260 + 371 + 20 = 666.

166226037120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (166226037121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722776 + ... + 924584.

Almost surely, 2166226037120 is an apocalyptic number.

166226037120 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 166226037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337176075600).

166226037120 is an abundant number, since it is smaller than the sum of its proper divisors (508126114080).

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

166226037120 is a wasteful number, since it uses less digits than its factorization.

166226037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201858 (or 201843 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 166226037120 its reverse (21730622661), we get a palindrome (187956659781).

The spelling of 166226037120 in words is "one hundred sixty-six billion, two hundred twenty-six million, thirty-seven thousand, one hundred twenty".