Search a number
-
+
77612082691984 = 24509243272
BaseRepresentation
bin10001101001011001111000…
…100111100111111110010000
3101011210122100111011011002121
4101221121320213213332100
540133044021132120414
6433022255405224024
722230200521652431
oct2151317047477620
9334718314134077
1077612082691984
1122803110378315
1288558a9562014
13343ca322b7ac9
141524632927488
158e8d05bb9724
hex4696789e7f90

77612082691984 has 45 divisors (see below), whose sum is σ = 150704248528497. Its totient is φ = 38720850850752.

The previous prime is 77612082691939. The next prime is 77612082692009. The reversal of 77612082691984 is 48919628021677.

The square root of 77612082691984 is 8809772.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 63113046474384 + 14499036217600 = 7944372^2 + 3807760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17936693629 + ... + 17936697955.

Almost surely, 277612082691984 is an apocalyptic number.

77612082691984 is the 8809772-nd square number.

It is an amenable number.

77612082691984 is a deficient number, since it is larger than the sum of its proper divisors (73092165836513).

77612082691984 is an frugal number, since it uses more digits than its factorization.

77612082691984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9680 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 70.

The spelling of 77612082691984 in words is "seventy-seven trillion, six hundred twelve billion, eighty-two million, six hundred ninety-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 509 1018 2036 4072 4327 8144 8654 17308 34616 69232 259081 518162 1036324 2072648 2202443 4145296 4404886 8809772 17619544 18722929 35239088 37445858 74891716 149783432 299566864 1121043487 2242086974 4484173948 8968347896 9529970861 17936695792 19059941722 38119883444 76239766888 152479533776 4850755168249 9701510336498 19403020672996 38806041345992 77612082691984