Search a number
-
+
11648086703344 = 2471348716427227
BaseRepresentation
bin1010100110000000100000…
…0100011111110011110000
31112020112202012010100211101
42221200020010133303300
53011320240144001334
640435020202454144
72311355306234620
oct251401004376360
945215665110741
1011648086703344
113790a20308453
121381588804354
13666543613480
142c3aaddc0880
15152ed7e34214
hexa980811fcf0

11648086703344 has 80 divisors (see below), whose sum is σ = 27833243780608. Its totient is φ = 4598571937536.

The previous prime is 11648086703333. The next prime is 11648086703353. The reversal of 11648086703344 is 44330768084611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7504542 + ... + 8922685.

Almost surely, 211648086703344 is an apocalyptic number.

11648086703344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11648086703344 is an abundant number, since it is smaller than the sum of its proper divisors (16185157077264).

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

11648086703344 is a wasteful number, since it uses less digits than its factorization.

11648086703344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16427742 (or 16427736 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 55.

The spelling of 11648086703344 in words is "eleven trillion, six hundred forty-eight billion, eighty-six million, seven hundred three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 487 728 974 1456 1948 3409 3896 6331 6818 7792 12662 13636 25324 27272 44317 50648 54544 88634 101296 177268 354536 709072 16427227 32854454 65708908 114990589 131417816 213553951 229981178 262835632 427107902 459962356 854215804 919924712 1494877657 1708431608 1839849424 2989755314 3416863216 5979510628 8000059549 11959021256 16000119098 23918042512 32000238196 56000416843 64000476392 104000774137 112000833686 128000952784 208001548274 224001667372 416003096548 448003334744 728005418959 832006193096 896006669488 1456010837918 1664012386192 2912021675836 5824043351672 11648086703344