Search a number
-
+
2053180780672 = 2774315316697
BaseRepresentation
bin11101111000001011000…
…111000111000010000000
321021021121200212102101111
4131320023013013002000
5232114403234440142
64211115045413104
7301223506452610
oct35701307070200
97237550772344
102053180780672
1172182702a49a
12291b0610a194
1311b7ca2a3928
1471535804a40
153861bc25e17
hex1de0b1c7080

2053180780672 has 64 divisors (see below), whose sum is σ = 4685499613440. Its totient is φ = 877892843520.

The previous prime is 2053180780559. The next prime is 2053180780709. The reversal of 2053180780672 is 2760870813502.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 2272173 + ... + 3044524.

It is an arithmetic number, because the mean of its divisors is an integer number (73210931460).

Almost surely, 22053180780672 is an apocalyptic number.

It is an amenable number.

2053180780672 is an abundant number, since it is smaller than the sum of its proper divisors (2632318832768).

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

2053180780672 is an equidigital number, since it uses as much as digits as its factorization.

2053180780672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5317149 (or 5317137 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 2053180780672 in words is "two trillion, fifty-three billion, one hundred eighty million, seven hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 431 448 862 896 1724 3017 3448 6034 6896 12068 13792 24136 27584 48272 55168 96544 193088 386176 5316697 10633394 21266788 37216879 42533576 74433758 85067152 148867516 170134304 297735032 340268608 595470064 680537216 1190940128 2291496407 2381880256 4582992814 4763760512 9165985628 16040474849 18331971256 32080949698 36663942512 64161899396 73327885024 128323798792 146655770048 256647597584 293311540096 513295195168 1026590390336 2053180780672