Search a number
-
+
77757321071540 = 225111633376434297
BaseRepresentation
bin10001101011100001001001…
…100000000100101110110100
3101012022112020101210021200102
4101223201021200010232310
540142433443143242130
6433213115315533232
722243531621552355
oct2153411140045664
9335275211707612
1077757321071540
1122859770685560
128879a815ba218
13345063a20ca76
14152b68db49d2c
158ec9a672d645
hex46b849804bb4

77757321071540 has 96 divisors (see below), whose sum is σ = 179759667394944. Its totient is φ = 28018527989760.

The previous prime is 77757321071533. The next prime is 77757321071593. The reversal of 77757321071540 is 4517012375777.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8867672 + ... + 15301968.

It is an arithmetic number, because the mean of its divisors is an integer number (1872496535364).

Almost surely, 277757321071540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77757321071540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89879833697472).

77757321071540 is an abundant number, since it is smaller than the sum of its proper divisors (102002346323404).

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

77757321071540 is a wasteful number, since it uses less digits than its factorization.

77757321071540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434817 (or 6434815 counting only the distinct ones).

The product of its (nonzero) digits is 10084200, while the sum is 56.

The spelling of 77757321071540 in words is "seventy-seven trillion, seven hundred fifty-seven billion, three hundred twenty-one million, seventy-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 326 337 652 674 815 1348 1630 1685 1793 3260 3370 3586 3707 6740 7172 7414 8965 14828 17930 18535 35860 37070 54931 74140 109862 219724 274655 549310 604241 1098620 1208482 2416964 3021205 6042410 6434297 12084820 12868594 25737188 32171485 64342970 70777267 128685940 141554534 283109068 353886335 707772670 1048790411 1415545340 2097580822 2168358089 4195161644 4336716178 5243952055 8673432356 10487904110 10841790445 11536694521 20975808220 21683580890 23073389042 23851938979 43367161780 46146778084 47703877958 57683472605 95407755916 115366945210 119259694895 230733890420 238519389790 353442368507 477038779580 706884737014 1413769474028 1767211842535 3534423685070 3887866053577 7068847370140 7775732107154 15551464214308 19439330267885 38878660535770 77757321071540