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48786068784 = 243171012772137
BaseRepresentation
bin101101011011111000…
…000101010100110000
311122220222121002001110
4231123320011110300
51244403213200114
634224554433320
73344651512455
oct553370052460
9148828532043
1048786068784
1119765511612
129556432840
1347a640b52b
14250b41582c
151408006759
hexb5be05530

48786068784 has 160 divisors (see below), whose sum is σ = 135315285696. Its totient is φ = 15092121600.

The previous prime is 48786068783. The next prime is 48786068791.

48786068784 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (48786068783) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22828164 + ... + 22830300.

Almost surely, 248786068784 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 48786068784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67657642848).

48786068784 is an abundant number, since it is smaller than the sum of its proper divisors (86529216912).

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

48786068784 is a wasteful number, since it uses less digits than its factorization.

48786068784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 66.

The spelling of 48786068784 in words is "forty-eight billion, seven hundred eighty-six million, sixty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 101 102 136 202 204 272 277 303 404 408 554 606 808 816 831 1108 1212 1616 1662 1717 2137 2216 2424 3324 3434 4274 4432 4709 4848 5151 6411 6648 6868 8548 9418 10302 12822 13296 13736 14127 17096 18836 20604 25644 27472 27977 28254 34192 36329 37672 41208 51288 55954 56508 72658 75344 82416 83931 102576 108987 111908 113016 145316 167862 215837 217974 223816 226032 290632 335724 431674 435948 447632 475609 581264 591949 647511 671448 863348 871896 951218 1183898 1295022 1342896 1426827 1726696 1743792 1775847 1902436 2367796 2590044 2853654 3453392 3551694 3669229 3804872 4735592 5180088 5707308 7103388 7338458 7609744 9471184 10063133 10360176 11007687 11414616 14206776 14676916 20126266 22015374 22829232 28413552 29353832 30189399 40252532 44030748 58707664 59786849 60378798 80505064 88061496 119573698 120757596 161010128 176122992 179360547 239147396 241515192 358721094 478294792 483030384 717442188 956589584 1016376433 1434884376 2032752866 2869768752 3049129299 4065505732 6098258598 8131011464 12196517196 16262022928 24393034392 48786068784