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134877367668480 = 283535124314497
BaseRepresentation
bin11110101010101110010101…
…100101101000111100000000
3122200120011001122202111200120
4132222232111211220330000
5120134312322110342410
61154505450214020240
740260365622641403
oct3652562545507400
9580504048674616
10134877367668480
1139a81196891a78
1213164179647680
135a34b5bcabb78
142544156b81d3a
15108d70ab99570
hex7aab95968f00

134877367668480 has 72 divisors (see below), whose sum is σ = 430764593003472. Its totient is φ = 35967298043904.

The previous prime is 134877367668479. The next prime is 134877367668497. The reversal of 134877367668480 is 84866763778431.

134877367668480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 134877367668396 and 134877367668405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17562153409 + ... + 17562161088.

Almost surely, 2134877367668480 is an apocalyptic number.

134877367668480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134877367668480 is an abundant number, since it is smaller than the sum of its proper divisors (295887225334992).

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

134877367668480 is an equidigital number, since it uses as much as digits as its factorization.

134877367668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35124314521 (or 35124314507 counting only the distinct ones).

The product of its (nonzero) digits is 5462360064, while the sum is 78.

The spelling of 134877367668480 in words is "one hundred thirty-four trillion, eight hundred seventy-seven billion, three hundred sixty-seven million, six hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 35124314497 70248628994 105372943491 140497257988 175621572485 210745886982 280994515976 351243144970 421491773964 526864717455 561989031952 702486289940 842983547928 1053729434910 1123978063904 1404972579880 1685967095856 2107458869820 2247956127808 2809945159760 3371934191712 4214917739640 4495912255616 5619890319520 6743868383424 8429835479280 8991824511232 11239780639040 13487736766848 16859670958560 22479561278080 26975473533696 33719341917120 44959122556160 67438683834240 134877367668480