Search a number
-
+
1127381551065 = 325711325362641
BaseRepresentation
bin10000011001111101001…
…011010100011111011001
310222202222011021200102200
4100121331023110133121
5121432334134113230
62221524551120413
7144310365033330
oct20317513243731
93882864250380
101127381551065
113a5135549640
121625b1973109
138240883acb3
143c7cbc6ad17
151e4d47a3160
hex1067d2d47d9

1127381551065 has 48 divisors (see below), whose sum is σ = 2436315463296. Its totient is φ = 468522201600.

The previous prime is 1127381551063. The next prime is 1127381551073. The reversal of 1127381551065 is 5601551837211.

1127381551065 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 38 + 1 + 551 + 0 + 65 = 666.

It is not a de Polignac number, because 1127381551065 - 21 = 1127381551063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1127381551065.

It is not an unprimeable number, because it can be changed into a prime (1127381551061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162677856 + ... + 162684785.

It is an arithmetic number, because the mean of its divisors is an integer number (50756572152).

Almost surely, 21127381551065 is an apocalyptic number.

1127381551065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1127381551065 is an abundant number, since it is smaller than the sum of its proper divisors (1308933912231).

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

1127381551065 is a wasteful number, since it uses less digits than its factorization.

1127381551065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325362670 (or 325362667 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 1127381551065 in words is "one trillion, one hundred twenty-seven billion, three hundred eighty-one million, five hundred fifty-one thousand, sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 325362641 976087923 1626813205 2277538487 2928263769 3578989051 4880439615 6832615461 10736967153 11387692435 14641318845 17894945255 20497846383 25052923357 32210901459 34163077305 53684835765 75158770071 102489231915 125264616785 161054507295 225476310213 375793850355 1127381551065