Search a number
-
+
11988656550 = 23252132970667
BaseRepresentation
bin10110010101001010…
…00110000110100110
31010221111202212001200
423022211012012212
5144023044002200
65301342303330
7603042620313
oct131245060646
933844685050
1011988656550
1150a2314122
1223a6b87b46
1311909c2620
1481a307d0a
154a277e800
hex2ca9461a6

11988656550 has 144 divisors (see below), whose sum is σ = 35883797040. Its totient is φ = 2849253120.

The previous prime is 11988656543. The next prime is 11988656569. The reversal of 11988656550 is 5565688911.

11988656550 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 86 + 5 + 6 + 550 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134317 + ... + 204983.

It is an arithmetic number, because the mean of its divisors is an integer number (249193035).

Almost surely, 211988656550 is an apocalyptic number.

11988656550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11988656550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17941898520).

11988656550 is an abundant number, since it is smaller than the sum of its proper divisors (23895140490).

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

11988656550 is a wasteful number, since it uses less digits than its factorization.

11988656550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70727 (or 70719 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 11988656550 in words is "eleven billion, nine hundred eighty-eight million, six hundred fifty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 29 30 39 45 50 58 65 75 78 87 90 117 130 145 150 174 195 225 234 261 290 325 377 390 435 450 522 585 650 725 754 870 975 1131 1170 1305 1450 1885 1950 2175 2262 2610 2925 3393 3770 4350 5655 5850 6525 6786 9425 11310 13050 16965 18850 28275 33930 56550 70667 84825 141334 169650 212001 353335 424002 636003 706670 918671 1060005 1272006 1766675 1837342 2049343 2120010 2756013 3180015 3533350 4098686 4593355 5300025 5512026 6148029 6360030 8268039 9186710 10246715 10600050 12296058 13780065 15900075 16536078 18444087 20493430 22966775 26641459 27560130 30740145 31800150 36888174 41340195 45933550 51233575 53282918 61480290 68900325 79924377 82680390 92220435 102467150 133207295 137800650 153700725 159848754 184440870 206700975 239773131 266414590 307401450 399621885 413401950 461102175 479546262 666036475 799243770 922204350 1198865655 1332072950 1998109425 2397731310 3996218850 5994328275 11988656550