Search a number
-
+
270668264706 = 232723193483929
BaseRepresentation
bin1111110000010100010…
…1011111010100000010
3221212122100002111012200
43330011011133110002
513413312033432311
6324202052134030
725361261201160
oct3740505372402
9855570074180
10270668264706
11a48761a7454
124455a307316
131c6a7044118
14d159770230
157092589556
hex3f0515f502

270668264706 has 96 divisors (see below), whose sum is σ = 702991560960. Its totient is φ = 73588027392.

The previous prime is 270668264689. The next prime is 270668264743. The reversal of 270668264706 is 607462866072.

It is a super-2 number, since 2×2706682647062 (a number of 24 digits) contains 22 as substring.

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, 317350 + ... + 801278.

It is an arithmetic number, because the mean of its divisors is an integer number (7322828760).

Almost surely, 2270668264706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270668264706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351495780480).

270668264706 is an abundant number, since it is smaller than the sum of its proper divisors (432323296254).

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

270668264706 is a wasteful number, since it uses less digits than its factorization.

270668264706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484160 (or 484157 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 270668264706 in words is "two hundred seventy billion, six hundred sixty-eight million, two hundred sixty-four thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 193 207 322 386 414 483 579 966 1158 1351 1449 1737 2702 2898 3474 4053 4439 8106 8878 12159 13317 24318 26634 31073 39951 62146 79902 93219 186438 279657 483929 559314 967858 1451787 2903574 3387503 4355361 6775006 8710722 10162509 11130367 20325018 22260734 30487527 33391101 60975054 66782202 77912569 93398297 100173303 155825138 186796594 200346606 233737707 280194891 467475414 560389782 653788079 701213121 840584673 1307576158 1402426242 1681169346 1961364237 2148160831 3922728474 4296321662 5884092711 6444482493 11768185422 12888964986 15037125817 19333447479 30074251634 38666894958 45111377451 90222754902 135334132353 270668264706