Search a number
-
+
2134754052756 = 2231324019569729
BaseRepresentation
bin11111000100001001010…
…000011100101010010100
321120002011200100222221220
4133010021100130222110
5234433434014142011
64312405324010340
7310142124024363
oct37041120345224
97502150328856
102134754052756
11753387012136
122a58909909b0
131263ca343970
14754734b77da
153a7e33b4506
hex1f10941ca94

2134754052756 has 48 divisors (see below), whose sum is σ = 5364486523200. Its totient is φ = 656818900992.

The previous prime is 2134754052749. The next prime is 2134754052799. The reversal of 2134754052756 is 6572504574312.

It is a junction number, because it is equal to n+sod(n) for n = 2134754052699 and 2134754052708.

It is a congruent number.

It is an unprimeable number.

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, 3462100 + ... + 4031828.

It is an arithmetic number, because the mean of its divisors is an integer number (111760135900).

Almost surely, 22134754052756 is an apocalyptic number.

2134754052756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2134754052756 is an abundant number, since it is smaller than the sum of its proper divisors (3229732470444).

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

2134754052756 is a wasteful number, since it uses less digits than its factorization.

2134754052756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593768 (or 593766 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 51.

The spelling of 2134754052756 in words is "two trillion, one hundred thirty-four billion, seven hundred fifty-four million, fifty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 24019 48038 72057 96076 144114 288228 312247 569729 624494 936741 1139458 1248988 1709187 1873482 2278916 3418374 3746964 6836748 7406477 14812954 22219431 29625908 44438862 88877724 13684320851 27368641702 41052962553 54737283404 82105925106 164211850212 177896171063 355792342126 533688513189 711584684252 1067377026378 2134754052756