Search a number
-
+
127394743677184 = 28232306712
BaseRepresentation
bin11100111101110101100110…
…011100010111000100000000
3121201001211002201121111221201
4130331311212130113010000
5113144213413340132214
61130540200505230544
735555652336303154
oct3475654634270400
9551054081544851
10127394743677184
11376568976a4805
1212355b55a92454
1356113713ba439
142365d1d323064
15eadc6a064274
hex73dd66717100

127394743677184 has 81 divisors (see below), whose sum is σ = 265837389418279. Its totient is φ = 60925934389760.

The previous prime is 127394743677181. The next prime is 127394743677209. The reversal of 127394743677184 is 481776347493721.

The square root of 127394743677184 is 11286928.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127394743677181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4153574169 + ... + 4153604839.

Almost surely, 2127394743677184 is an apocalyptic number.

127394743677184 is the 11286928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127394743677184

127394743677184 is an abundant number, since it is smaller than the sum of its proper divisors (138442645741095).

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

127394743677184 is an frugal number, since it uses more digits than its factorization.

127394743677184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61404 (or 30696 counting only the distinct ones).

The product of its digits is 1194891264, while the sum is 73.

The spelling of 127394743677184 in words is "one hundred twenty-seven trillion, three hundred ninety-four billion, seven hundred forty-three million, six hundred seventy-seven thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 529 736 1058 1472 2116 2944 4232 5888 8464 16928 30671 33856 61342 67712 122684 135424 245368 490736 705433 981472 1410866 1962944 2821732 3925888 5643464 7851776 11286928 16224959 22573856 32449918 45147712 64899836 90295424 129799672 180590848 259599344 519198688 940710241 1038397376 1881420482 2076794752 3762840964 4153589504 7525681928 15051363856 21636335543 30102727712 43272671086 60205455424 86545342172 120410910848 173090684344 240821821696 346181368688 497635717489 692362737376 995271434978 1384725474752 1990542869956 2769450949504 3981085739912 5538901899008 7962171479824 15924342959648 31848685919296 63697371838592 127394743677184