Search a number
-
+
27726680454 = 23113727141897
BaseRepresentation
bin11001110100101000…
…111001000110000110
32122120022122022012220
4121310220321012012
5423241012233304
620423142553210
72001043616034
oct316450710606
978508568186
1027726680454
1110838a96450
125459738806
1327cb401cc5
1414b0563554
15ac4277ad9
hex674a39186

27726680454 has 64 divisors (see below), whose sum is σ = 62360312832. Its totient is φ = 8144582400.

The previous prime is 27726680447. The next prime is 27726680467. The reversal of 27726680454 is 45408662772.

It is a super-2 number, since 2×277266804542 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27726680397 and 27726680406.

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, 640834 + ... + 682730.

It is an arithmetic number, because the mean of its divisors is an integer number (974379888).

Almost surely, 227726680454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27726680454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31180156416).

27726680454 is an abundant number, since it is smaller than the sum of its proper divisors (34633632378).

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

27726680454 is a wasteful number, since it uses less digits than its factorization.

27726680454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42221.

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 27726680454 in words is "twenty-seven billion, seven hundred twenty-six million, six hundred eighty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 271 407 542 813 814 1221 1626 2442 2981 5962 8943 10027 17886 20054 30081 41897 60162 83794 110297 125691 220594 251382 330891 460867 661782 921734 1382601 1550189 2765202 3100378 4650567 9301134 11354087 17052079 22708174 34062261 34104158 51156237 68124522 102312474 124894957 249789914 374684871 420101219 749369742 840202438 1260303657 2520607314 4621113409 9242226818 13863340227 27726680454