Search a number
-
+
1048420357776 = 243211277572
BaseRepresentation
bin11110100000110101011…
…10010001011010010000
310201020011012212110100100
433100122232101122100
5114134131102422101
62121345422452400
7135513556000611
oct17203256213220
93636135773310
101048420357776
113746a5a61400
1214b235a34100
1377b339aca0c
1438a5b061c08
151c4125cde86
hexf41ab91690

1048420357776 has 135 divisors (see below), whose sum is σ = 3225523876393. Its totient is φ = 317662181760.

The previous prime is 1048420357763. The next prime is 1048420357783. The reversal of 1048420357776 is 6777530248401.

The square root of 1048420357776 is 1023924.

It is a perfect power (a square), and thus also a powerful number.

1048420357776 is a `hidden beast` number, since 1 + 0 + 48 + 4 + 20 + 3 + 577 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 862335104400 + 186085253376 = 928620^2 + 431376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 135154090 + ... + 135161846.

Almost surely, 21048420357776 is an apocalyptic number.

1048420357776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1048420357776 is the 1023924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1048420357776

1048420357776 is an abundant number, since it is smaller than the sum of its proper divisors (2177103518617).

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

1048420357776 is an frugal number, since it uses more digits than its factorization.

1048420357776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15550 (or 7773 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 1048420357776 in words is "one trillion, forty-eight billion, four hundred twenty million, three hundred fifty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 7757 8712 15514 17424 23271 31028 46542 62056 69813 85327 93084 124112 139626 170654 186168 255981 279252 341308 372336 511962 558504 682616 767943 938597 1023924 1117008 1365232 1535886 1877194 2047848 2815791 3071772 3754388 4095696 5631582 6143544 7508776 8447373 11263164 12287088 15017552 16894746 22526328 33789492 45052656 60171049 67578984 120342098 135157968 180513147 240684196 361026294 481368392 541539441 661881539 722052588 962736784 1083078882 1323763078 1444105176 1985644617 2166157764 2647526156 2888210352 3971289234 4332315528 5295052312 5956933851 7280696929 7942578468 8664631056 10590104624 11913867702 14561393858 15885156936 21842090787 23827735404 29122787716 31770313872 43684181574 47655470808 58245575432 65526272361 87368363148 95310941616 116491150864 131052544722 174736726296 262105089444 349473452592 524210178888 1048420357776