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166550005440 = 263357131911149
BaseRepresentation
bin1001101100011100100…
…1110110011011000000
3120220220011012220022000
42123013021312123000
510212043300133230
6204302332344000
715014156454660
oct2330711663300
9526804186260
10166550005440
11646a71551a5
1228341315000
13129232784a0
1480bd7b41a0
1544eba19b60
hex26c72766c0

166550005440 has 896 divisors, whose sum is σ = 761268480000. Its totient is φ = 33287749632.

The previous prime is 166550005429. The next prime is 166550005469. The reversal of 166550005440 is 44500055661.

166550005440 is a `hidden beast` number, since 1 + 6 + 65 + 50 + 0 + 0 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 166550005395 and 166550005404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14932986 + ... + 14944134.

It is an arithmetic number, because the mean of its divisors is an integer number (849630000).

Almost surely, 2166550005440 is an apocalyptic number.

166550005440 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 166550005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380634240000).

166550005440 is an abundant number, since it is smaller than the sum of its proper divisors (594718474560).

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

166550005440 is a wasteful number, since it uses less digits than its factorization.

166550005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11214 (or 11198 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 166550005440 in words is "one hundred sixty-six billion, five hundred fifty million, five thousand, four hundred forty".