Search a number
-
+
27205661024 = 251973797759
BaseRepresentation
bin11001010101100101…
…010111000101100000
32121020000020202220222
4121111211113011200
5421204122123044
620255331422212
71652116205663
oct312545270540
977200222828
1027205661024
11105a0982883
125333154968
13274749a799
1414612996da
15a9365b8ee
hex655957160

27205661024 has 96 divisors (see below), whose sum is σ = 57883392000. Its totient is φ = 12547851264.

The previous prime is 27205660991. The next prime is 27205661053. The reversal of 27205661024 is 42016650272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3502457 + ... + 3510215.

It is an arithmetic number, because the mean of its divisors is an integer number (602952000).

Almost surely, 227205661024 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 27205661024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28941696000).

27205661024 is an abundant number, since it is smaller than the sum of its proper divisors (30677730976).

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

27205661024 is a wasteful number, since it uses less digits than its factorization.

27205661024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7940 (or 7932 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 27205661024 in words is "twenty-seven billion, two hundred five million, six hundred sixty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 73 76 79 146 152 158 292 304 316 584 608 632 1168 1264 1387 1501 2336 2528 2774 3002 5548 5767 6004 7759 11096 11534 12008 15518 22192 23068 24016 31036 44384 46136 48032 62072 92272 109573 124144 147421 184544 219146 248288 294842 438292 566407 589684 612961 876584 1132814 1179368 1225922 1753168 2265628 2358736 2451844 3506336 4531256 4717472 4903688 9062512 9807376 10761733 11646259 18125024 19614752 21523466 23292518 43046932 44746153 46585036 86093864 89492306 93170072 172187728 178984612 186340144 344375456 357969224 372680288 715938448 850176907 1431876896 1700353814 3400707628 6801415256 13602830512 27205661024