Search a number
-
+
68302755936 = 25321871126757
BaseRepresentation
bin111111100111001010…
…010101100001100000
320112022010200111201100
4333213022111201200
52104341001142221
651213341034400
74635414563142
oct774712254140
9215263614640
1068302755936
1126a70141528
12112a2555a00
13659692461c
14343d44ac92
151b9b603926
hexfe7295860

68302755936 has 72 divisors (see below), whose sum is σ = 194341309344. Its totient is φ = 22755237120.

The previous prime is 68302755923. The next prime is 68302755977. The reversal of 68302755936 is 63955720386.

It is a happy number.

68302755936 is a `hidden beast` number, since 6 + 8 + 30 + 27 + 559 + 36 = 666.

68302755936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475470 + ... + 602226.

It is an arithmetic number, because the mean of its divisors is an integer number (2699184852).

Almost surely, 268302755936 is an apocalyptic number.

It is an amenable number.

68302755936 is an abundant number, since it is smaller than the sum of its proper divisors (126038553408).

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

68302755936 is a wasteful number, since it uses less digits than its factorization.

68302755936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128644 (or 128633 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 68302755936 in words is "sixty-eight billion, three hundred two million, seven hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1871 3742 5613 7484 11226 14968 16839 22452 29936 33678 44904 59872 67356 89808 126757 134712 179616 253514 269424 380271 507028 538848 760542 1014056 1140813 1521084 2028112 2281626 3042168 4056224 4563252 6084336 9126504 12168672 18253008 36506016 237162347 474324694 711487041 948649388 1422974082 1897298776 2134461123 2845948164 3794597552 4268922246 5691896328 7589195104 8537844492 11383792656 17075688984 22767585312 34151377968 68302755936