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126966493117440 = 2103252755349243
BaseRepresentation
bin11100110111100110110000…
…101110000111110000000000
3121122112212201012122000110100
4130313212300232013300000
5113120204334214224230
61130011333545402400
735513012026512204
oct3467466056076000
9548485635560410
10126966493117440
113750120739a779
12122a6b59799400
1355acb72c83c72
14234d2d51cab04
15ea2a5340e660
hex7379b0b87c00

126966493117440 has 132 divisors (see below), whose sum is σ = 439935592392504. Its totient is φ = 33857731485696.

The previous prime is 126966493117423. The next prime is 126966493117441. The reversal of 126966493117440 is 44711394669621.

It is a happy number.

126966493117440 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 66 + 493 + 11 + 74 + 4 + 0 = 666.

It is a super-2 number, since 2×1269664931174402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126966493117441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1377628542 + ... + 1377720701.

Almost surely, 2126966493117440 is an apocalyptic number.

126966493117440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126966493117440 is an abundant number, since it is smaller than the sum of its proper divisors (312969099275064).

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

126966493117440 is a wasteful number, since it uses less digits than its factorization.

126966493117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755349274 (or 2755349253 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 126966493117440 in words is "one hundred twenty-six trillion, nine hundred sixty-six billion, four hundred ninety-three million, one hundred seventeen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 2755349243 5510698486 8266047729 11021396972 13776746215 16532095458 22042793944 24798143187 27553492430 33064190916 41330238645 44085587888 49596286374 55106984860 66128381832 82660477290 88171175776 99192572748 110213969720 123990715935 132256763664 165320954580 176342351552 198385145496 220427939440 247981431870 264513527328 330641909160 352684703104 396770290992 440855878880 495962863740 529027054656 661283818320 705369406208 793540581984 881711757760 991925727480 1058054109312 1322567636640 1410738812416 1587081163968 1763423515520 1983851454960 2116108218624 2645135273280 2821477624832 3174162327936 3526847031040 3967702909920 4232216437248 5290270546560 6348324655872 7053694062080 7935405819840 8464432874496 10580541093120 12696649311744 14107388124160 15870811639680 21161082186240 25393298623488 31741623279360 42322164372480 63483246558720 126966493117440