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166378323456 = 29345997701
BaseRepresentation
bin1001101011110011101…
…0111011111000000000
3120220110012011112220000
42122330322323320000
510211220322322311
6204233320520000
715010003262262
oct2327472737000
9526405145800
10166378323456
1164619253a64
12282b3920000
13128c6827707
1480a4a83b32
1544db906056
hex26bcebbe00

166378323456 has 400 divisors, whose sum is σ = 510946516080. Its totient is φ = 53880422400.

The previous prime is 166378323409. The next prime is 166378323457. The reversal of 166378323456 is 654323873661.

166378323456 is a `hidden beast` number, since 1 + 66 + 37 + 83 + 23 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166378323457) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 237343906 + ... + 237344606.

Almost surely, 2166378323456 is an apocalyptic number.

166378323456 is a gapful number since it is divisible by the number (16) 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 166378323456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255473258040).

166378323456 is an abundant number, since it is smaller than the sum of its proper divisors (344568192624).

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

166378323456 is an frugal number, since it uses more digits than its factorization.

166378323456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 862 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 166378323456 in words is "one hundred sixty-six billion, three hundred seventy-eight million, three hundred twenty-three thousand, four hundred fifty-six".