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166432237920 = 25335136834339
BaseRepresentation
bin1001101100000000100…
…0100110100101100000
3120220120221121200122000
42123000020212211200
510211323123103140
6204242524244000
715011226452304
oct2330010464540
9526527550560
10166432237920
1164646728773
12283099a0600
1312904a53770
1480abcb9d04
1544e1505a30
hex26c0226960

166432237920 has 384 divisors, whose sum is σ = 628384780800. Its totient is φ = 40898525184.

The previous prime is 166432237913. The next prime is 166432237943. The reversal of 166432237920 is 29732234661.

166432237920 is a `hidden beast` number, since 166 + 432 + 2 + 37 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38355111 + ... + 38359449.

It is an arithmetic number, because the mean of its divisors is an integer number (1636418700).

Almost surely, 2166432237920 is an apocalyptic number.

166432237920 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 166432237920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314192390400).

166432237920 is an abundant number, since it is smaller than the sum of its proper divisors (461952542880).

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

166432237920 is a wasteful number, since it uses less digits than its factorization.

166432237920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 166432237920 in words is "one hundred sixty-six billion, four hundred thirty-two million, two hundred thirty-seven thousand, nine hundred twenty".