Search a number
-
+
127616681666276 = 221121765323751989
BaseRepresentation
bin11101000001000100010010…
…111110100110011011100100
3121201212000221222002111221122
4131001010102332212123210
5113211332431001310101
61131230143314433112
735611000224135065
oct3501042276463344
9551760858074848
10127616681666276
1137731a26927900
1212390b74592798
13562928075923a
142372974c4256c
15eb490946851b
hex741112fa66e4

127616681666276 has 72 divisors (see below), whose sum is σ = 260315444866680. Its totient is φ = 54511762539520.

The previous prime is 127616681666273. The next prime is 127616681666297. The reversal of 127616681666276 is 672666186616721.

It can be written as a sum of positive squares in 4 ways, for example, as 2028260188900 + 125588421477376 = 1424170^2 + 11206624^2 .

It is not an unprimeable number, because it can be changed into a prime (127616681666273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6503111 + ... + 17248878.

It is an arithmetic number, because the mean of its divisors is an integer number (3615492289815).

Almost surely, 2127616681666276 is an apocalyptic number.

It is an amenable number.

127616681666276 is an abundant number, since it is smaller than the sum of its proper divisors (132698763200404).

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

127616681666276 is a wasteful number, since it uses less digits than its factorization.

127616681666276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23752685 (or 23752672 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 71.

The spelling of 127616681666276 in words is "one hundred twenty-seven trillion, six hundred sixteen billion, six hundred eighty-one million, six hundred sixty-six thousand, two hundred seventy-six".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 374 484 653 748 1306 2057 2612 4114 7183 8228 11101 14366 22202 28732 44404 79013 122111 158026 244222 316052 488444 1343221 2686442 5372884 23751989 47503978 95007956 261271879 403783813 522543758 807567626 1045087516 1615135252 2873990669 4441621943 5747981338 8883243886 11495962676 15510048817 17766487772 31020097634 48857841373 62040195268 97715682746 170610536987 195431365492 263670829889 341221073974 527341659778 682442147948 1054683319556 1876715906857 2900379128779 3753431813714 5800758257558 7506863627428 11601516515116 31904170416569 63808340833138 127616681666276