Search a number
-
+
27180771954 = 2377110190247
BaseRepresentation
bin11001010100000110…
…011010101001110010
32121011021102021112120
4121110012122221302
5421131234200304
620253042135110
71651364515050
oct312406325162
977137367476
1027180771954
11105889232a6
125326951496
132742294c1b
14145bc5b1d0
15a913920d9
hex65419aa72

27180771954 has 64 divisors (see below), whose sum is σ = 63627005952. Its totient is φ = 7580664000.

The previous prime is 27180771949. The next prime is 27180771967. The reversal of 27180771954 is 45917708172.

27180771954 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 27180771897 and 27180771906.

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, 256059 + ... + 346305.

It is an arithmetic number, because the mean of its divisors is an integer number (994171968).

Almost surely, 227180771954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27180771954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31813502976).

27180771954 is an abundant number, since it is smaller than the sum of its proper divisors (36446233998).

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

27180771954 is a wasteful number, since it uses less digits than its factorization.

27180771954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90431.

The product of its (nonzero) digits is 987840, while the sum is 51.

The spelling of 27180771954 in words is "twenty-seven billion, one hundred eighty million, seven hundred seventy-one thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 71 101 142 202 213 303 426 497 606 707 994 1414 1491 2121 2982 4242 7171 14342 21513 43026 50197 90247 100394 150591 180494 270741 301182 541482 631729 1263458 1895187 3790374 6407537 9114947 12815074 18229894 19222611 27344841 38445222 44852759 54689682 63804629 89705518 127609258 134558277 191413887 269116554 382827774 647161237 1294322474 1941483711 3882967422 4530128659 9060257318 13590385977 27180771954