Search a number
-
+
11944941291630 = 23251767987114833
BaseRepresentation
bin1010110111010010010111…
…1110111000100001101110
31120021220222111101220212100
42231310211332320201232
53031201214432313010
641223232534515530
72341664531504604
oct255644576704156
946256874356770
1011944941291630
113895903a56336
12140b014805ba6
136885318a71c9
142d41d14a7874
1515aaae3c92c0
hexadd25fb886e

11944941291630 has 96 divisors (see below), whose sum is σ = 32884490774304. Its totient is φ = 2997875847168.

The previous prime is 11944941291617. The next prime is 11944941291641. The reversal of 11944941291630 is 3619214944911.

11944941291630 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 494 + 1 + 2 + 91 + 63 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103962694 + ... + 104077526.

It is an arithmetic number, because the mean of its divisors is an integer number (342546778899).

Almost surely, 211944941291630 is an apocalyptic number.

11944941291630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11944941291630 is an abundant number, since it is smaller than the sum of its proper divisors (20939549482674).

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

11944941291630 is a wasteful number, since it uses less digits than its factorization.

11944941291630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182850 (or 182847 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 11944941291630 in words is "eleven trillion, nine hundred forty-four billion, nine hundred forty-one million, two hundred ninety-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 67987 114833 135974 203961 229666 339935 344499 407922 574165 611883 679870 688998 1019805 1033497 1148330 1155779 1223766 1722495 1952161 2039610 2066994 2311558 3059415 3444990 3467337 3904322 5167485 5778895 5856483 6118830 6934674 9760805 10334970 10402011 11557790 11712966 17336685 17569449 19521610 20804022 29282415 34673370 35138898 52010055 58564830 87847245 104020110 175694490 7807151171 15614302342 23421453513 39035755855 46842907026 70264360539 78071511710 117107267565 132721569907 140528721078 234214535130 265443139814 351321802695 398164709721 663607849535 702643605390 796329419442 1194494129163 1327215699070 1990823548605 2388988258326 3981647097210 5972470645815 11944941291630