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166442466463616 = 277544334128547
BaseRepresentation
bin100101110110000011101000…
…000101101100111110000000
3210211022202002122221211122202
4211312003220011230332000
5133303443132403313431
61345554340304052332
750026033323525050
oct4566035005547600
9724282078854582
10166442466463616
1149040943199752
12168017b93040a8
1371b45c3731725
142d15c034a9560
15143983cede8cb
hex9760e816cf80

166442466463616 has 64 divisors (see below), whose sum is σ = 379023463236480. Its totient is φ = 71319378175488.

The previous prime is 166442466463601. The next prime is 166442466463631. The reversal of 166442466463616 is 616364664244661.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (166442466463601) and next prime (166442466463631).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12187346 + ... + 21941201.

It is an arithmetic number, because the mean of its divisors is an integer number (5922241613070).

Almost surely, 2166442466463616 is an apocalyptic number.

166442466463616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166442466463616 is an abundant number, since it is smaller than the sum of its proper divisors (212580996772864).

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

166442466463616 is an equidigital number, since it uses as much as digits as its factorization.

166442466463616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34134011 (or 34133999 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 65.

The spelling of 166442466463616 in words is "one hundred sixty-six trillion, four hundred forty-two billion, four hundred sixty-six million, four hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 5443 10886 21772 38101 43544 76202 87088 152404 174176 304808 348352 609616 696704 1219232 2438464 4876928 34128547 68257094 136514188 238899829 273028376 477799658 546056752 955599316 1092113504 1911198632 2184227008 3822397264 4368454016 7644794528 15289589056 30579178112 185761681321 371523362642 743046725284 1300331769247 1486093450568 2600663538494 2972186901136 5201327076988 5944373802272 10402654153976 11888747604544 20805308307952 23777495209088 41610616615904 83221233231808 166442466463616