Search a number
-
+
11905390392 = 2337439911663
BaseRepresentation
bin10110001011001110…
…11101011100111000
31010201201002111100220
423011213131130320
5143340234443032
65245205500040
7601012101660
oct130547353470
933651074326
1011905390392
11505a312015
122383111620
13117968a6cc
1480d2311a0
1549a2d312c
hex2c59dd738

11905390392 has 128 divisors (see below), whose sum is σ = 34862530560. Its totient is φ = 3317086080.

The previous prime is 11905390379. The next prime is 11905390397. The reversal of 11905390392 is 29309350911.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11905390397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7158153 + ... + 7159815.

It is an arithmetic number, because the mean of its divisors is an integer number (272363520).

Almost surely, 211905390392 is an apocalyptic number.

11905390392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11905390392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17431265280).

11905390392 is an abundant number, since it is smaller than the sum of its proper divisors (22957140168).

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

11905390392 is a wasteful number, since it uses less digits than its factorization.

11905390392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 42.

The spelling of 11905390392 in words is "eleven billion, nine hundred five million, three hundred ninety thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 991 1032 1204 1663 1806 1982 2408 2973 3326 3612 3964 4989 5946 6652 6937 7224 7928 9978 11641 11892 13304 13874 19956 20811 23282 23784 27748 34923 39912 41622 42613 46564 55496 69846 71509 83244 85226 93128 127839 139692 143018 166488 170452 214527 255678 279384 286036 298291 340904 429054 500563 511356 572072 596582 858108 894873 1001126 1022712 1193164 1501689 1648033 1716216 1789746 2002252 2386328 3003378 3296066 3579492 4004504 4944099 6006756 6592132 7158984 9888198 11536231 12013512 13184264 19776396 23072462 34608693 39552792 46144924 69217386 70865419 92289848 138434772 141730838 212596257 276869544 283461676 425192514 496057933 566923352 850385028 992115866 1488173799 1700770056 1984231732 2976347598 3968463464 5952695196 11905390392