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442662066264 = 233112152431841
BaseRepresentation
bin1100111000100001011…
…01110001100001011000
31120022120212202212220010
412130100231301201120
524223032442110024
6535204532201520
743660402323645
oct6342055614130
91508525685803
10442662066264
11160806218200
127195a7692a0
1332987085132
14175d412adcc
15b7abe70b29
hex6710b71858

442662066264 has 48 divisors (see below), whose sum is σ = 1216406099160. Its totient is φ = 134140019200.

The previous prime is 442662066263. The next prime is 442662066271. The reversal of 442662066264 is 462660266244.

It is a super-2 number, since 2×4426620662642 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442662066263) 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 11 ways as a sum of consecutive naturals, for example, 76213017 + ... + 76218824.

Almost surely, 2442662066264 is an apocalyptic number.

442662066264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442662066264 is an abundant number, since it is smaller than the sum of its proper divisors (773744032896).

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

442662066264 is a wasteful number, since it uses less digits than its factorization.

442662066264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152431872 (or 152431857 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 442662066264 in words is "four hundred forty-two billion, six hundred sixty-two million, sixty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 152431841 304863682 457295523 609727364 914591046 1219454728 1676750251 1829182092 3353500502 3658364184 5030250753 6707001004 10060501506 13414002008 18444252761 20121003012 36888505522 40242006024 55332758283 73777011044 110665516566 147554022088 221331033132 442662066264