Search a number
-
+
10949323399760 = 2452312746856057
BaseRepresentation
bin1001111101010101011010…
…0010000010001001010000
31102202202010011200122122102
42133111112202002021100
52413343203242243020
635142014424055532
72210030304165164
oct237252642021120
942682104618572
1010949323399760
11354164467a109
12128a0763045a8
13615694448975
1429bd4303cca4
1513ec3c715475
hex9f556882250

10949323399760 has 80 divisors (see below), whose sum is σ = 26773176692736. Its totient is φ = 4156319591424.

The previous prime is 10949323399757. The next prime is 10949323399811. The reversal of 10949323399760 is 6799332394901.

It is a tau number, because it is divible by the number of its divisors (80).

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, 23194349 + ... + 23661708.

Almost surely, 210949323399760 is an apocalyptic number.

10949323399760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10949323399760 is an abundant number, since it is smaller than the sum of its proper divisors (15823853292976).

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

10949323399760 is a wasteful number, since it uses less digits than its factorization.

10949323399760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46856220 (or 46856214 counting only the distinct ones).

The product of its (nonzero) digits is 59521392, while the sum is 65.

The spelling of 10949323399760 in words is "ten trillion, nine hundred forty-nine billion, three hundred twenty-three million, three hundred ninety-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 127 184 230 254 368 460 508 635 920 1016 1270 1840 2032 2540 2921 5080 5842 10160 11684 14605 23368 29210 46736 58420 116840 233680 46856057 93712114 187424228 234280285 374848456 468560570 749696912 937121140 1077689311 1874242280 2155378622 3748484560 4310757244 5388446555 5950719239 8621514488 10776893110 11901438478 17243028976 21553786220 23802876956 29753596195 43107572440 47605753912 59507192390 86215144880 95211507824 119014384780 136866542497 238028769560 273733084994 476057539120 547466169988 684332712485 1094932339976 1368665424970 2189864679952 2737330849940 5474661699880 10949323399760