Search a number
-
+
10240635036335 = 5111789449274081
BaseRepresentation
bin1001010100000101010101…
…1010011110001010101111
31100020222212110111122220112
42111001111122132022233
52320240310032130320
633440252141010235
72104601324404064
oct225012532361257
940228773448815
1010240635036335
113299035561480
121194853b5397b
135938c2c71ca2
14275913c84c6b
1512b5b09dcec5
hex9505569e2af

10240635036335 has 64 divisors (see below), whose sum is σ = 14386016016000. Its totient is φ = 6915411148800.

The previous prime is 10240635036319. The next prime is 10240635036367. The reversal of 10240635036335 is 53363053604201.

10240635036335 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10240635036335 - 24 = 10240635036319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10240635036292 and 10240635036301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37226495 + ... + 37500575.

It is an arithmetic number, because the mean of its divisors is an integer number (224781500250).

Almost surely, 210240635036335 is an apocalyptic number.

10240635036335 is a deficient number, since it is larger than the sum of its proper divisors (4145380979665).

10240635036335 is a wasteful number, since it uses less digits than its factorization.

10240635036335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274652.

The product of its (nonzero) digits is 583200, while the sum is 41.

The spelling of 10240635036335 in words is "ten trillion, two hundred forty billion, six hundred thirty-five million, thirty-six thousand, three hundred thirty-five".

Divisors: 1 5 11 17 55 85 89 187 445 449 935 979 1513 2245 4895 4939 7565 7633 16643 24695 38165 39961 83215 83963 199805 274081 419815 439571 679337 1370405 2197855 3014891 3396685 4659377 7472707 15074455 23296885 24393209 37363535 51253147 121966045 123062369 256265735 268325299 414684553 615311845 1341626495 1353686059 2073422765 2092060273 4561530083 6768430295 10460301365 10952550841 22807650415 23012663003 54762754205 115063315015 120478059251 186193364297 602390296255 930966821485 2048127007267 10240635036335