Search a number
-
+
271478428020 = 2232510913836821
BaseRepresentation
bin1111110011010101100…
…0000001000101110100
3221221201210120001100100
43330311120001011310
513421441434144040
6324414312514100
725420326364302
oct3746530010564
9857653501310
10271478428020
11a515154a108
12447456ab930
131c7a5b44cb7
14d1d51c3272
1570dd76cb30
hex3f35601174

271478428020 has 72 divisors (see below), whose sum is σ = 831039529320. Its totient is φ = 71730074880.

The previous prime is 271478428009. The next prime is 271478428033. The reversal of 271478428020 is 20824874172.

271478428020 is a `hidden beast` number, since 271 + 4 + 7 + 84 + 280 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65251637136 + 206226790884 = 255444^2 + 454122^2 .

It is a super-2 number, since 2×2714784280202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6898791 + ... + 6938030.

It is an arithmetic number, because the mean of its divisors is an integer number (11542215685).

Almost surely, 2271478428020 is an apocalyptic number.

271478428020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271478428020 is an abundant number, since it is smaller than the sum of its proper divisors (559561101300).

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

271478428020 is a wasteful number, since it uses less digits than its factorization.

271478428020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13836945 (or 13836940 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 271478428020 in words is "two hundred seventy-one billion, four hundred seventy-eight million, four hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 9810 19620 13836821 27673642 41510463 55347284 69184105 83020926 124531389 138368210 166041852 207552315 249062778 276736420 415104630 498125556 622656945 830209260 1245313890 1508213489 2490627780 3016426978 4524640467 6032853956 7541067445 9049280934 13573921401 15082134890 18098561868 22623202335 27147842802 30164269780 45246404670 54295685604 67869607005 90492809340 135739214010 271478428020