Search a number
-
+
26034362666112 = 273613732979731
BaseRepresentation
bin1011110101101100110001…
…11100000100110010000000
310102011212020111102100202110
411322312120330010302000
511403021333320303422
6131212004320215320
75324630530255113
oct572663074046200
9112155214370673
1026034362666112
1183281250130a9
122b0577346a540
13116b0507c9758
146600d9a5257a
1530233095960c
hex17ad98f04c80

26034362666112 has 128 divisors (see below), whose sum is σ = 70475906128320. Its totient is φ = 8512969420800.

The previous prime is 26034362666069. The next prime is 26034362666141. The reversal of 26034362666112 is 21166626343062.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7247287 + ... + 10227017.

Almost surely, 226034362666112 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 26034362666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35237953064160).

26034362666112 is an abundant number, since it is smaller than the sum of its proper divisors (44441543462208).

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

26034362666112 is a wasteful number, since it uses less digits than its factorization.

26034362666112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980182 (or 2980170 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 26034362666112 in words is "twenty-six trillion, thirty-four billion, three hundred sixty-two million, six hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 373 384 488 732 746 976 1119 1464 1492 1952 2238 2928 2984 3904 4476 5856 5968 7808 8952 11712 11936 17904 22753 23424 23872 35808 45506 47744 68259 71616 91012 136518 143232 182024 273036 364048 546072 728096 1092144 1456192 2184288 2912384 2979731 4368576 5959462 8737152 8939193 11918924 17878386 23837848 35756772 47675696 71513544 95351392 143027088 181763591 190702784 286054176 363527182 381405568 545290773 572108352 727054364 1090581546 1111439663 1144216704 1454108728 2181163092 2222879326 2908217456 3334318989 4362326184 4445758652 5816434912 6668637978 8724652368 8891517304 11632869824 13337275956 17449304736 17783034608 23265739648 26674551912 34898609472 35566069216 53349103824 67797819443 69797218944 71132138432 106698207648 135595638886 142264276864 203393458329 213396415296 271191277772 406786916658 426792830592 542382555544 813573833316 1084765111088 1627147666632 2169530222176 3254295333264 4339060444352 6508590666528 8678120888704 13017181333056 26034362666112