Search a number
-
+
12072561562488 = 23372831289196993
BaseRepresentation
bin1010111110101101110010…
…1111100101001101111000
31120202010101120110101210210
42233223130233211031320
53040244101224444423
641402020324111120
72354133221063250
oct257533457451570
946663346411723
1012072561562488
113934a432a8769
12142b8b05354a0
1369758c73c88b
142da45a8ac960
1515e07d36cb93
hexafadcbe5378

12072561562488 has 128 divisors (see below), whose sum is σ = 34641946483200. Its totient is φ = 3434431021056.

The previous prime is 12072561562423. The next prime is 12072561562493. The reversal of 12072561562488 is 88426516527021.

It is a happy number.

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, 61185720 + ... + 61382712.

It is an arithmetic number, because the mean of its divisors is an integer number (270640206900).

Almost surely, 212072561562488 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 12072561562488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17320973241600).

12072561562488 is an abundant number, since it is smaller than the sum of its proper divisors (22569384920712).

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

12072561562488 is a wasteful number, since it uses less digits than its factorization.

12072561562488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198581 (or 198577 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 12072561562488 in words is "twelve trillion, seventy-two billion, five hundred sixty-one million, five hundred sixty-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 283 566 849 1132 1289 1698 1981 2264 2578 3396 3867 3962 5156 5943 6792 7734 7924 9023 10312 11886 15468 15848 18046 23772 27069 30936 36092 47544 54138 72184 108276 196993 216552 364787 393986 590979 729574 787972 1094361 1181958 1378951 1459148 1575944 2188722 2363916 2553509 2757902 2918296 4136853 4377444 4727832 5107018 5515804 7660527 8273706 8754888 10214036 11031608 15321054 16547412 20428072 30642108 33094824 55749019 61284216 111498038 167247057 222996076 253923977 334494114 390243133 445992152 507847954 668988228 761771931 780486266 1015695908 1170729399 1337976456 1523543862 1560972532 1777467839 2031391816 2341458798 3047087724 3121945064 3554935678 4682917596 5332403517 6094175448 7109871356 9365835192 10664807034 14219742712 21329614068 42659228136 71860485491 143720970982 215581456473 287441941964 431162912946 503023398437 574883883928 862325825892 1006046796874 1509070195311 1724651651784 2012093593748 3018140390622 4024187187496 6036280781244 12072561562488