Search a number
-
+
5105550011088 = 2433183273115137
BaseRepresentation
bin100101001001011101001…
…1111101010101011010000
3200002002022120002020121010
41022102322133222223100
51132122131300323323
614505242435330520
71034602201024032
oct112227237525320
920062276066533
105105550011088
11169928497508a
126a55a6450a40
132b05b3677b27
1413917795bc52
158cc18d08c93
hex4a4ba7eaad0

5105550011088 has 160 divisors (see below), whose sum is σ = 13784789716992. Its totient is φ = 1626405580800.

The previous prime is 5105550011071. The next prime is 5105550011113. The reversal of 5105550011088 is 8801100555015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337281856 + ... + 337296992.

Almost surely, 25105550011088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105550011088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892394858496).

5105550011088 is an abundant number, since it is smaller than the sum of its proper divisors (8679239705904).

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

5105550011088 is a wasteful number, since it uses less digits than its factorization.

5105550011088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17993 (or 17987 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 39.

The spelling of 5105550011088 in words is "five trillion, one hundred five billion, five hundred fifty million, eleven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 83 93 124 166 186 248 249 332 372 496 498 664 744 996 1328 1488 1992 2573 2731 3984 5146 5462 7719 8193 10292 10924 15137 15438 16386 20584 21848 30274 30876 32772 41168 43696 45411 60548 61752 65544 84661 90822 121096 123504 131088 169322 181644 226673 242192 253983 338644 363288 453346 469247 507966 677288 680019 726576 906692 938494 1015932 1256371 1354576 1360038 1407741 1813384 1876988 2031864 2512742 2720076 2815482 3626768 3753976 3769113 4063728 5025484 5440152 5630964 7026863 7507952 7538226 10050968 10880304 11261928 14053726 15076452 20101936 21080589 22523856 28107452 30152904 38947501 41339147 42161178 56214904 60305808 77895002 82678294 84322356 112429808 116842503 124017441 155790004 165356588 168644712 233685006 248034882 311580008 330713176 337289424 467370012 496069764 623160016 661426352 934740024 992139528 1281513557 1869480048 1984279056 2563027114 3431149201 3844540671 5126054228 6862298402 7689081342 10252108456 10293447603 13724596804 15378162684 20504216912 20586895206 27449193608 30756325368 41173790412 54898387216 61512650736 82347580824 106365625231 164695161648 212731250462 319096875693 425462500924 638193751386 850925001848 1276387502772 1701850003696 2552775005544 5105550011088