Search a number
-
+
1027960449285 = 35711979175351
BaseRepresentation
bin11101111010101110011…
…01111010100100000101
310122021100022221102020210
432331113031322210011
5113320230333334120
62104123303550033
7134160550435620
oct16752715724405
93567308842223
101027960449285
11366a56969320
12147285a5b319
1375c22c493a3
1437a79a5cdb7
151bb162b8ce0
hexef5737a905

1027960449285 has 64 divisors (see below), whose sum is σ = 2071721078784. Its totient is φ = 422800128000.

The previous prime is 1027960449281. The next prime is 1027960449289. The reversal of 1027960449285 is 5829440697201.

It is an interprime number because it is at equal distance from previous prime (1027960449281) and next prime (1027960449289).

It is not a de Polignac number, because 1027960449285 - 22 = 1027960449281 is a prime.

It is a super-2 number, since 2×10279604492852 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027960449281) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4475641 + ... + 4699710.

It is an arithmetic number, because the mean of its divisors is an integer number (32370641856).

Almost surely, 21027960449285 is an apocalyptic number.

1027960449285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1027960449285 is an abundant number, since it is smaller than the sum of its proper divisors (1043760629499).

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

1027960449285 is a wasteful number, since it uses less digits than its factorization.

1027960449285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9175474.

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 1027960449285 in words is "one trillion, twenty-seven billion, nine hundred sixty million, four hundred forty-nine thousand, two hundred eighty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 97 105 165 231 291 385 485 679 1067 1155 1455 2037 3201 3395 5335 7469 10185 16005 22407 37345 112035 9175351 27526053 45876755 64227457 100928861 137630265 192682371 302786583 321137285 504644305 706502027 890009047 963411855 1513932915 2119506081 2670027141 3532510135 4450045235 6230063329 9790099517 10597530405 13350135705 18690189987 29370298551 31150316645 48950497585 68530696619 93450949935 146851492755 205592089857 342653483095 1027960449285