Search a number
-
+
27490405488 = 24371353118747
BaseRepresentation
bin11001100110100011…
…100100110001110000
32121221212001021220020
4121212203210301300
5422300020433423
620343502443440
71662144406530
oct314643446160
977855037806
1027490405488
1110727687587
1253b2593580
132791486830
14148b01b4c0
15aad6554e3
hex6668e4c70

27490405488 has 160 divisors (see below), whose sum is σ = 89055300096. Its totient is φ = 7113360384.

The previous prime is 27490405477. The next prime is 27490405499. The reversal of 27490405488 is 88450409472.

It is an interprime number because it is at equal distance from previous prime (27490405477) and next prime (27490405499).

It is a self number, because there is not a number n which added to its sum of digits gives 27490405488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172131 + ... + 290877.

Almost surely, 227490405488 is an apocalyptic number.

27490405488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27490405488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44527650048).

27490405488 is an abundant number, since it is smaller than the sum of its proper divisors (61564894608).

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

27490405488 is a wasteful number, since it uses less digits than its factorization.

27490405488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118831 (or 118825 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 27490405488 in words is "twenty-seven billion, four hundred ninety million, four hundred five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 53 56 78 84 91 104 106 112 156 159 168 182 208 212 273 312 318 336 364 371 424 546 624 636 689 728 742 848 1092 1113 1272 1378 1456 1484 2067 2184 2226 2544 2756 2968 4134 4368 4452 4823 5512 5936 8268 8904 9646 11024 14469 16536 17808 19292 28938 33072 38584 57876 77168 115752 118747 231504 237494 356241 474988 712482 831229 949976 1424964 1543711 1662458 1899952 2493687 2849928 3087422 3324916 4631133 4987374 5699856 6174844 6293591 6649832 9262266 9974748 10805977 12349688 12587182 13299664 18524532 18880773 19949496 21611954 24699376 25174364 32417931 37049064 37761546 39898992 43223908 44055137 50348728 64835862 74098128 75523092 81816683 86447816 88110274 100697456 129671724 132165411 151046184 163633366 172895632 176220548 245450049 259343448 264330822 302092368 327266732 352441096 490900098 518686896 528661644 572716781 654533464 704882192 981800196 1057323288 1145433562 1309066928 1718150343 1963600392 2114646576 2290867124 3436300686 3927200784 4581734248 6872601372 9163468496 13745202744 27490405488