Search a number
-
+
80557477475508 = 2232112337331191107
BaseRepresentation
bin10010010100010000111111…
…110101000011010010110100
3101120020012221010002000112200
4102110100333311003102310
541024323203213204013
6443155332205344500
722653041250353625
oct2224207765032264
9346205833060480
1080557477475508
11237392639a6710
1290506b4268130
1335c46cac52517
1415c7007635a4c
1594a7415e4e73
hex49443fd434b4

80557477475508 has 144 divisors (see below), whose sum is σ = 223401300647616. Its totient is φ = 24273406241280.

The previous prime is 80557477475459. The next prime is 80557477475509.

80557477475508 is a `hidden beast` number, since 8 + 0 + 5 + 5 + 7 + 4 + 77 + 47 + 5 + 508 = 666.

80557477475508 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80557477475509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67036891 + ... + 68227997.

It is an arithmetic number, because the mean of its divisors is an integer number (1551397921164).

Almost surely, 280557477475508 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 80557477475508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111700650323808).

80557477475508 is an abundant number, since it is smaller than the sum of its proper divisors (142843823172108).

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

80557477475508 is a wasteful number, since it uses less digits than its factorization.

80557477475508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192094 (or 1192089 counting only the distinct ones).

The product of its (nonzero) digits is 1536640000, while the sum is 72.

The spelling of 80557477475508 in words is "eighty trillion, five hundred fifty-seven billion, four hundred seventy-seven million, four hundred seventy-five thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 233 396 466 699 733 932 1398 1466 2097 2199 2563 2796 2932 4194 4398 5126 6597 7689 8063 8388 8796 10252 13194 15378 16126 23067 24189 26388 30756 32252 46134 48378 72567 92268 96756 145134 170789 290268 341578 512367 683156 1024734 1191107 1537101 1878679 2049468 2382214 3074202 3573321 3757358 4764428 5636037 6148404 7146642 7514716 10719963 11272074 13102177 14293284 16908111 21439926 22544148 26204354 33816222 39306531 42879852 52408708 67632444 78613062 117919593 157226124 235839186 277527931 471678372 555055862 832583793 873081431 1110111724 1665167586 1746162862 2497751379 2619244293 3052807241 3330335172 3492325724 4995502758 5238488586 6105614482 7857732879 9158421723 9603895741 9991005516 10476977172 12211228964 15715465758 18316843446 19207791482 27475265169 28811687223 31430931516 36633686892 38415582964 54950530338 57623374446 86435061669 109901060676 115246748892 172870123338 203427973423 345740246676 406855946846 610283920269 813711893692 1220567840538 1830851760807 2237707707653 2441135681076 3661703521614 4475415415306 6713123122959 7323407043228 8950830830612 13426246245918 20139369368877 26852492491836 40278738737754 80557477475508