Search a number
-
+
10711905984 = 2632131430543
BaseRepresentation
bin10011111100111101…
…01011011011000000
31000122112100012112200
421332132223123000
5133414221442414
64530533153200
7526310461413
oct117636533300
930575305480
1010711905984
1145a765656a
1220ab48b800
131019337b10
14738919b7a
1542a633109
hex27e7ab6c0

10711905984 has 84 divisors (see below), whose sum is σ = 33065594016. Its totient is φ = 3295968768.

The previous prime is 10711905977. The next prime is 10711905991. The reversal of 10711905984 is 48950911701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10711905977) and next prime (10711905991).

It is a super-2 number, since 2×107119059842 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 707784 + ... + 722759.

It is an arithmetic number, because the mean of its divisors is an integer number (393638024).

Almost surely, 210711905984 is an apocalyptic number.

It is an amenable number.

10711905984 is an abundant number, since it is smaller than the sum of its proper divisors (22353688032).

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

10711905984 is a wasteful number, since it uses less digits than its factorization.

10711905984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430574 (or 1430561 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 10711905984 in words is "ten billion, seven hundred eleven million, nine hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 1430543 2861086 4291629 5722172 8583258 11444344 12874887 17166516 18597059 22888688 25749774 34333032 37194118 45777376 51499548 55791177 68666064 74388236 91554752 102999096 111582354 137332128 148776472 167373531 205998192 223164708 274664256 297552944 334747062 411996384 446329416 595105888 669494124 823992768 892658832 1190211776 1338988248 1785317664 2677976496 3570635328 5355952992 10711905984