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442064402166332 = 221123796312563109
BaseRepresentation
bin110010010000011100010001…
…1101010001011001000111100
32010222012221111021002000010002
41210200320203222023020330
5430420240343423310312
64204105325514133432
7162054045662622131
oct14440704352131074
92128187437060102
10442064402166332
11118945507478300
12416b7061a21278
1315c88656b47aba
147b24061986588
153619199c914c2
hex1920e23a8b23c

442064402166332 has 72 divisors (see below), whose sum is σ = 873407660146560. Its totient is φ = 195487221916800.

The previous prime is 442064402166301. The next prime is 442064402166337. The reversal of 442064402166332 is 233661204460244.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442064402166337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171190394 + ... + 173753502.

It is an arithmetic number, because the mean of its divisors is an integer number (12130661946480).

Almost surely, 2442064402166332 is an apocalyptic number.

It is an amenable number.

442064402166332 is a deficient number, since it is larger than the sum of its proper divisors (431343257980228).

442064402166332 is a wasteful number, since it uses less digits than its factorization.

442064402166332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572803 (or 2572790 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 47.

The spelling of 442064402166332 in words is "four hundred forty-two trillion, sixty-four billion, four hundred two million, one hundred sixty-six thousand, three hundred thirty-two".

Divisors: 1 2 4 11 22 37 44 74 121 148 242 407 484 814 1628 4477 8954 9631 17908 19262 38524 105941 211882 356347 423764 712694 1165351 1425388 2330702 2563109 3919817 4661404 5126218 7839634 10252436 15679268 28194199 43117987 56388398 86235974 94835033 112776796 172471948 189670066 310136189 379340132 620272378 1043185363 1240544756 2086370726 4172741452 11475038993 22950077986 24685302779 45900155972 49370605558 98741211116 271538330569 543076661138 913356202823 1086153322276 1826712405646 2986921636259 3653424811292 5973843272518 10046918231053 11947686545036 20093836462106 40187672924212 110516100541583 221032201083166 442064402166332