Search a number
-
+
47727274999860 = 2232561271258137
BaseRepresentation
bin10101101101000010111110…
…10001011100000000110100
320020222200102212002221100200
422312201133101130000310
522223430424344443420
6245301335113040500
713024116236600421
oct1266413721340064
9206880385087320
1047727274999860
1114231029543105
125429a479b6130
13208287ccc73a1
14bb00261a0d48
1557b768c79b90
hex2b685f45c034

47727274999860 has 108 divisors (see below), whose sum is σ = 147184966685484. Its totient is φ = 12518629332480.

The previous prime is 47727274999801. The next prime is 47727274999889. The reversal of 47727274999860 is 6899947272774.

47727274999860 is a `hidden beast` number, since 4 + 7 + 7 + 27 + 27 + 499 + 9 + 86 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 26953478922276 + 20773796077584 = 5191674^2 + 4557828^2 .

It is a super-2 number, since 2×477272749998602 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47727274999860.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34959289 + ... + 36298848.

Almost surely, 247727274999860 is an apocalyptic number.

It is an amenable number.

47727274999860 is an abundant number, since it is smaller than the sum of its proper divisors (99457691685624).

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

47727274999860 is a wasteful number, since it uses less digits than its factorization.

47727274999860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71258274 (or 71258208 counting only the distinct ones).

The product of its (nonzero) digits is 5377010688, while the sum is 81.

The spelling of 47727274999860 in words is "forty-seven trillion, seven hundred twenty-seven billion, two hundred seventy-four million, nine hundred ninety-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 3721 5490 7442 10980 11163 14884 18605 22326 33489 37210 44652 55815 66978 74420 111630 133956 167445 223260 334890 669780 71258137 142516274 213774411 285032548 356290685 427548822 641323233 712581370 855097644 1068872055 1282646466 1425162740 2137744110 2565292932 3206616165 4275488220 4346746357 6413232330 8693492714 12826464660 13040239071 17386985428 21733731785 26080478142 39120717213 43467463570 52160956284 65201195355 78241434426 86934927140 130402390710 156482868852 195603586065 260804781420 265151527777 391207172130 530303055554 782414344260 795454583331 1060606111108 1325757638885 1590909166662 2386363749993 2651515277770 3181818333324 3977272916655 4772727499986 5303030555540 7954545833310 9545454999972 11931818749965 15909091666620 23863637499930 47727274999860