Search a number
-
+
1105171215064 = 237191039199961
BaseRepresentation
bin10000000101010001010…
…101100111001011011000
310220122122021121201012121
4100011101111213023120
5121101342312340224
62203413022351024
7142563113221210
oct20052125471330
93818567551177
101105171215064
11396778380454
1215a23372b474
13802a9253247
143b6c21b7240
151db34977be4
hex101515672d8

1105171215064 has 64 divisors (see below), whose sum is σ = 2493132249600. Its totient is φ = 448668460800.

The previous prime is 1105171215061. The next prime is 1105171215119. The reversal of 1105171215064 is 4605121715011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105171215061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11006044 + ... + 11106004.

It is an arithmetic number, because the mean of its divisors is an integer number (38955191400).

Almost surely, 21105171215064 is an apocalyptic number.

1105171215064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1105171215064 is an abundant number, since it is smaller than the sum of its proper divisors (1387961034536).

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

1105171215064 is a wasteful number, since it uses less digits than its factorization.

1105171215064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110384 (or 110380 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 34.

The spelling of 1105171215064 in words is "one trillion, one hundred five billion, one hundred seventy-one million, two hundred fifteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 10391 20782 41564 72737 83128 99961 145474 197429 199922 290948 394858 399844 581896 699727 789716 799688 1382003 1399454 1579432 1899259 2764006 2798908 3798518 5528012 5597816 7597036 11056024 13294813 15194072 26589626 53179252 106358504 1038694751 2077389502 4154779004 7270863257 8309558008 14541726514 19735200269 29083453028 39470400538 58166906056 78940801076 138146401883 157881602152 276292803766 552585607532 1105171215064