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642675577338 = 232234733028861
BaseRepresentation
bin10010101101000100111…
…00110001000111111010
32021102212011111000002200
421112202130301013322
541012144421433323
61211124024011030
764301046162564
oct11264234610772
92242764430080
10642675577338
11228614677483
12a467a900a76
13487b1125012
1423169d28334
1511ab66b3443
hex95a27311fa

642675577338 has 48 divisors (see below), whose sum is σ = 1483920711936. Its totient is φ = 200551237920.

The previous prime is 642675577319. The next prime is 642675577373. The reversal of 642675577338 is 833775576246.

642675577338 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 7 + 557 + 73 + 3 + 8 = 666.

642675577338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16494973 + ... + 16533888.

It is an arithmetic number, because the mean of its divisors is an integer number (30915014832).

Almost surely, 2642675577338 is an apocalyptic number.

642675577338 is an abundant number, since it is smaller than the sum of its proper divisors (841245134598).

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

642675577338 is a wasteful number, since it uses less digits than its factorization.

642675577338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33028939 (or 33028936 counting only the distinct ones).

The product of its digits is 177811200, while the sum is 63.

The spelling of 642675577338 in words is "six hundred forty-two billion, six hundred seventy-five million, five hundred seventy-seven thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 46 47 69 94 138 141 207 282 414 423 846 1081 2162 3243 6486 9729 19458 33028861 66057722 99086583 198173166 297259749 594519498 759663803 1519327606 1552356467 2278991409 3104712934 4557982818 4657069401 6836974227 9314138802 13673948454 13971208203 27942416406 35704198741 71408397482 107112596223 214225192446 321337788669 642675577338