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42775753016776 = 231312754112914637
BaseRepresentation
bin10011011100111100000011…
…00100000100010111001000
312121110022200202221020021111
421232132001210010113020
521101314220233014101
6230550524252420104
712003306015304453
oct1156360144042710
9177408622836244
1042775753016776
11126a210546423a
12496a289177634
131ab3975584940
14a7c500d6249a
154e2a674b0251
hex26e7819045c8

42775753016776 has 128 divisors (see below), whose sum is σ = 87301520732160. Its totient is φ = 19531638604800.

The previous prime is 42775753016729. The next prime is 42775753016809. The reversal of 42775753016776 is 67761035757724.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9224874330 + ... + 9224878966.

It is an arithmetic number, because the mean of its divisors is an integer number (682043130720).

Almost surely, 242775753016776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42775753016776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43650760366080).

42775753016776 is an abundant number, since it is smaller than the sum of its proper divisors (44525767715384).

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

42775753016776 is a wasteful number, since it uses less digits than its factorization.

42775753016776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 363031200, while the sum is 67.

The spelling of 42775753016776 in words is "forty-two trillion, seven hundred seventy-five billion, seven hundred fifty-three million, sixteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 26 52 104 127 254 508 541 1016 1082 1291 1651 2164 2582 3302 4328 4637 5164 6604 7033 9274 10328 13208 14066 16783 18548 28132 33566 37096 56264 60281 67132 68707 120562 134264 137414 163957 241124 274828 327914 482248 549656 588899 655828 698431 893191 1177798 1311656 1396862 1786382 2131441 2355596 2508617 2793724 3572764 4262882 4711192 5017234 5587448 5986367 7145528 7655687 8525764 9079603 10034468 11972734 15311374 17051528 18159206 20068936 23945468 30622748 32612021 36318412 47890936 61245496 65224042 72636824 77822771 88700737 130448084 155645542 177401474 260896168 311291084 318594359 354802948 622582168 637188718 709605896 760268609 1153109581 1274377436 1520537218 2306219162 2548754872 3041074436 3238624547 4141726667 4612438324 6082148872 6477249094 8283453334 9224876648 9883491917 12954498188 16566906668 19766983834 25908996376 33133813336 39533967668 42102119111 79067935336 84204238222 168408476444 336816952888 411305317469 822610634938 1645221269876 3290442539752 5346969127097 10693938254194 21387876508388 42775753016776