Search a number
-
+
11735230509 = 3417192915467
BaseRepresentation
bin10101110110111100…
…10110100000101101
31010021211220110220000
422323132112200231
5143013204334014
65220250414513
7563544546012
oct127336264055
933254813800
1011735230509
114a82260412
122336131439
1311503506a2
147d47b9709
1548a3c0509
hex2bb79682d

11735230509 has 80 divisors (see below), whose sum is σ = 20213582400. Its totient is φ = 6734762496.

The previous prime is 11735230489. The next prime is 11735230511. The reversal of 11735230509 is 90503253711.

11735230509 is a `hidden beast` number, since 1 + 1 + 73 + 52 + 30 + 509 = 666.

It is not a de Polignac number, because 11735230509 - 29 = 11735229997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11735230519) 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 79 ways as a sum of consecutive naturals, for example, 750994 + ... + 766460.

It is an arithmetic number, because the mean of its divisors is an integer number (252669780).

Almost surely, 211735230509 is an apocalyptic number.

11735230509 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

11735230509 is a deficient number, since it is larger than the sum of its proper divisors (8478351891).

11735230509 is a wasteful number, since it uses less digits than its factorization.

11735230509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15544 (or 15535 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 11735230509 in words is "eleven billion, seven hundred thirty-five million, two hundred thirty thousand, five hundred nine".

Divisors: 1 3 9 17 19 27 29 51 57 81 87 153 171 261 323 459 493 513 551 783 969 1377 1479 1539 1653 2349 2907 4437 4959 8721 9367 13311 14877 15467 26163 28101 39933 44631 46401 84303 139203 252909 262939 293873 417609 448543 758727 788817 881619 1252827 1345629 2366451 2644857 4036887 4995841 7099353 7625231 7934571 8522317 12110661 14987523 21298059 22875693 23803713 25566951 36331983 44962569 68627079 76700853 134887707 144879389 205881237 230102559 404663121 434638167 617643711 690307677 1303914501 3911743503 11735230509