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166642263432 = 2332481092
BaseRepresentation
bin1001101100110010100…
…1110010010110001000
3120221010120211002110200
42123030221302112020
510212240404412212
6204315430012200
715016356603501
oct2331451622610
9527116732420
10166642263432
1164744238a77
12283681a7060
131293940b108
1480cbb4bba8
154504b906dc
hex26cca72588

166642263432 has 36 divisors (see below), whose sum is σ = 451332178245. Its totient is φ = 55546266528.

The previous prime is 166642263421. The next prime is 166642263439. The reversal of 166642263432 is 234362246661.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 166077440676 + 564822756 = 407526^2 + 23766^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=288654.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (166642263439) 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 8 ways as a sum of consecutive naturals, for example, 3439794 + ... + 3487902.

Almost surely, 2166642263432 is an apocalyptic number.

166642263432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166642263432 is an abundant number, since it is smaller than the sum of its proper divisors (284689914813).

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

166642263432 is an frugal number, since it uses more digits than its factorization.

166642263432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96230 (or 48114 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The spelling of 166642263432 in words is "one hundred sixty-six billion, six hundred forty-two million, two hundred sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 48109 96218 144327 192436 288654 384872 432981 577308 865962 1154616 1731924 3463848 2314475881 4628951762 6943427643 9257903524 13886855286 18515807048 20830282929 27773710572 41660565858 55547421144 83321131716 166642263432