Search a number
-
+
12737130204456 = 233373171918937
BaseRepresentation
bin1011100101011001100000…
…0111110000110100101000
31200002122202111121022122000
42321112120013300310220
53132141120313020311
643031205024331000
72453140650246000
oct271263007606450
950078674538560
1012737130204456
114070871a42689
12151865b173a60
1371514c4b53b8
143206a229d000
151714c6a8a056
hexb95981f0d28

12737130204456 has 128 divisors (see below), whose sum is σ = 41260545120000. Its totient is φ = 3639180037248.

The previous prime is 12737130204431. The next prime is 12737130204479. The reversal of 12737130204456 is 65440203173721.

It is a happy number.

12737130204456 is a `hidden beast` number, since 1 + 2 + 7 + 371 + 30 + 204 + 45 + 6 = 666.

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, 85885381 + ... + 86033556.

It is an arithmetic number, because the mean of its divisors is an integer number (322348008750).

Almost surely, 212737130204456 is an apocalyptic number.

It is an amenable number.

12737130204456 is an abundant number, since it is smaller than the sum of its proper divisors (28523414915544).

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

12737130204456 is a wasteful number, since it uses less digits than its factorization.

12737130204456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171918973 (or 171918949 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 12737130204456 in words is "twelve trillion, seven hundred thirty-seven billion, one hundred thirty million, two hundred four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 756 882 1029 1176 1323 1372 1512 1764 2058 2646 2744 3087 3528 4116 5292 6174 8232 9261 10584 12348 18522 24696 37044 74088 171918937 343837874 515756811 687675748 1031513622 1203432559 1375351496 1547270433 2063027244 2406865118 3094540866 3610297677 4126054488 4641811299 4813730236 6189081732 7220595354 8424027913 9283622598 9627460472 10830893031 12378163464 14441190708 16848055826 18567245196 21661786062 25272083739 28882381416 32492679093 33696111652 37134490392 43323572124 50544167478 58968195391 64985358186 67392223304 75816251217 86647144248 101088334956 117936390782 129970716372 151632502434 176904586173 202176669912 227448753651 235872781564 259941432744 303265004868 353809172346 454897507302 471745563128 530713758519 606530009736 707618344692 909795014604 1061427517038 1415236689384 1592141275557 1819590029208 2122855034076 3184282551114 4245710068152 6368565102228 12737130204456