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642416152644 = 223273676946241
BaseRepresentation
bin10010101100100101111…
…11001001000001000100
32021102012002022212022200
421112102333021001010
541011132013341034
61211042155354500
764261446125430
oct11262277110104
92242162285280
10642416152644
112284a1196902
12a4607a52a30
134876c462896
14231436b79c0
1511a9da1ba99
hex9592fc9044

642416152644 has 72 divisors (see below), whose sum is σ = 1860926016768. Its totient is φ = 183047316480.

The previous prime is 642416152621. The next prime is 642416152757. The reversal of 642416152644 is 446251614246.

642416152644 is a `hidden beast` number, since 6 + 4 + 2 + 4 + 1 + 615 + 26 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 642416152644.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3380637 + ... + 3565604.

Almost surely, 2642416152644 is an apocalyptic number.

It is an amenable number.

642416152644 is an abundant number, since it is smaller than the sum of its proper divisors (1218509864124).

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

642416152644 is a wasteful number, since it uses less digits than its factorization.

642416152644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946625 (or 6946620 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 642416152644 in words is "six hundred forty-two billion, four hundred sixteen million, one hundred fifty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 367 734 1101 1468 2202 2569 3303 4404 5138 6606 7707 10276 13212 15414 23121 30828 46242 92484 6946241 13892482 20838723 27784964 41677446 48623687 62516169 83354892 97247374 125032338 145871061 194494748 250064676 291742122 437613183 583484244 875226366 1750452732 2549270447 5098540894 7647811341 10197081788 15295622682 17844893129 22943434023 30591245364 35689786258 45886868046 53534679387 71379572516 91773736092 107069358774 160604038161 214138717548 321208076322 642416152644