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166710661920 = 253451147139179
BaseRepresentation
bin1001101101000010111…
…0101101001100100000
3120221022100112002120000
42123100232231030200
510212410412140140
6204330312020000
715021150150135
oct2332056551440
9527270462500
10166710661920
1164779905850
1228387091600
131294a6389aa
1480d6c7458c
15450aba1a30
hex26d0bad320

166710661920 has 960 divisors, whose sum is σ = 663896217600. Its totient is φ = 39050864640.

The previous prime is 166710661919. The next prime is 166710661921. The reversal of 166710661920 is 29166017661.

166710661920 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 1 + 0 + 6 + 619 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (166710661919) and next prime (166710661921).

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 (166710661921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 931344391 + ... + 931344569.

It is an arithmetic number, because the mean of its divisors is an integer number (691558560).

Almost surely, 2166710661920 is an apocalyptic number.

166710661920 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 166710661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331948108800).

166710661920 is an abundant number, since it is smaller than the sum of its proper divisors (497185555680).

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

166710661920 is a wasteful number, since it uses less digits than its factorization.

166710661920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 166710661920 in words is "one hundred sixty-six billion, seven hundred ten million, six hundred sixty-one thousand, nine hundred twenty".