Search a number
-
+
42827738976 = 25321121228987
BaseRepresentation
bin100111111000101110…
…110110111101100000
311002112201221120010200
4213320232312331200
51200202400121401
631401431025200
73044211526521
oct477056667540
9132481846120
1042827738976
1117188162200
128372b0b200
134066b725a9
142103d72848
1511a9da0686
hex9f8bb6f60

42827738976 has 108 divisors (see below), whose sum is σ = 133869975876. Its totient is φ = 12978092160.

The previous prime is 42827738953. The next prime is 42827739011. The reversal of 42827738976 is 67983772824.

42827738976 is a `hidden beast` number, since 42 + 82 + 77 + 389 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 579646 + ... + 649341.

Almost surely, 242827738976 is an apocalyptic number.

It is an amenable number.

42827738976 is an abundant number, since it is smaller than the sum of its proper divisors (91042236900).

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

42827738976 is a wasteful number, since it uses less digits than its factorization.

42827738976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229025 (or 1229003 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 63.

The spelling of 42827738976 in words is "forty-two billion, eight hundred twenty-seven million, seven hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 11616 17424 34848 1228987 2457974 3686961 4915948 7373922 9831896 11060883 13518857 14747844 19663792 22121766 27037714 29495688 39327584 40556571 44243532 54075428 58991376 81113142 88487064 108150856 117982752 121669713 148707427 162226284 176974128 216301712 243339426 297414854 324452568 353948256 432603424 446122281 486678852 594829708 648905136 892244562 973357704 1189659416 1297810272 1338366843 1784489124 1946715408 2379318832 2676733686 3568978248 3893430816 4758637664 5353467372 7137956496 10706934744 14275912992 21413869488 42827738976