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134544526044889 = 292612792832
BaseRepresentation
bin11110100101111000010110…
…101011100110111011011001
3122122101022221100112010211011
4132211320112223212323121
5120113334142131414024
61154052522454533521
740224343531552222
oct3645702653467331
9578338840463734
10134544526044889
11399630164248a4
121310b7696672a1
135a0c6571763bc
142531dc0058249
151084c2a1a4094
hex7a5e16ae6ed9

134544526044889 has 81 divisors (see below), whose sum is σ = 145231208700669. Its totient is φ = 124638080898240.

The previous prime is 134544526044823. The next prime is 134544526044917. The reversal of 134544526044889 is 988440625445431.

The square root of 134544526044889 is 11599333.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 40369923035289 + 94174603009600 = 6353733^2 + 9704360^2 .

It is not a de Polignac number, because 134544526044889 - 29 = 134544526044377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (134544526044809) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1621018386042 + ... + 1621018386124.

Almost surely, 2134544526044889 is an apocalyptic number.

134544526044889 is the 11599333-rd square number.

134544526044889 is the 5799667-th centered octagonal number.

It is an amenable number.

134544526044889 is a deficient number, since it is larger than the sum of its proper divisors (10686682655780).

134544526044889 is an frugal number, since it uses more digits than its factorization.

134544526044889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 67.

The spelling of 134544526044889 in words is "one hundred thirty-four trillion, five hundred forty-four billion, five hundred twenty-six million, forty-four thousand, eight hundred eighty-nine".

Divisors: 1 29 61 79 83 841 1769 2291 2407 3721 4819 5063 6241 6557 6889 51301 66439 69803 107909 139751 146827 180989 190153 199781 293959 308843 380701 399977 420229 518003 544231 3129361 4052779 4257983 5248681 5514437 5793649 8524811 8956447 11040329 11599333 12186641 15022087 15782699 23222761 24398597 25633969 31598183 33198091 42994249 247219519 259736963 320169541 336380657 353412589 435640523 457698271 673460069 707559313 743385101 916347307 962744639 1246833221 1927489163 2025083551 2622649189 19530342001 20519220077 21558167929 26574071903 27919594531 36158163409 55897185727 58727422979 76056826481 159981600529 1621018386083 1703095266391 2205647967949 4639466415341 134544526044889