Search a number
-
+
27740541990 = 2357228167157
BaseRepresentation
bin11001110101011101…
…110001010000100110
32122121021201112200010
4121311131301100212
5423303034320430
620424400031050
72001302500500
oct316535612046
978537645603
1027740541990
11108458a3867
125462302486
1328012463b5
1414b2330d70
15ac55b4cb0
hex675771426

27740541990 has 96 divisors (see below), whose sum is σ = 77723833824. Its totient is φ = 6318036480.

The previous prime is 27740541973. The next prime is 27740542001. The reversal of 27740541990 is 9914504772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379492 + ... + 446648.

It is an arithmetic number, because the mean of its divisors is an integer number (809623269).

Almost surely, 227740541990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27740541990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38861916912).

27740541990 is an abundant number, since it is smaller than the sum of its proper divisors (49983291834).

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

27740541990 is a wasteful number, since it uses less digits than its factorization.

27740541990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67462 (or 67455 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 27740541990 in words is "twenty-seven billion, seven hundred forty million, five hundred forty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 281 294 490 562 735 843 1405 1470 1686 1967 2810 3934 4215 5901 8430 9835 11802 13769 19670 27538 29505 41307 59010 67157 68845 82614 134314 137690 201471 206535 335785 402942 413070 470099 671570 940198 1007355 1410297 2014710 2350495 2820594 3290693 4700990 6581386 7051485 9872079 14102970 16453465 18871117 19744158 32906930 37742234 49360395 56613351 94355585 98720790 113226702 132097819 188711170 264195638 283066755 396293457 566133510 660489095 792586914 924684733 1320978190 1849369466 1981467285 2774054199 3962934570 4623423665 5548108398 9246847330 13870270995 27740541990