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427443747660 = 2232541107541301
BaseRepresentation
bin1100011100001011010…
…00011111101101001100
31111212022021211012101100
412032011220133231030
524000401044411120
6524210454543100
742611311623066
oct6160550375514
91455267735340
10427443747660
11155306941196
126aa12067a90
1331400239a97
141698cd16736
15b1badd4490
hex6385a1fb4c

427443747660 has 144 divisors (see below), whose sum is σ = 1340618846112. Its totient is φ = 110165376000.

The previous prime is 427443747629. The next prime is 427443747667. The reversal of 427443747660 is 66747344724.

427443747660 is a `hidden beast` number, since 4 + 2 + 7 + 443 + 74 + 76 + 60 = 666.

427443747660 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 427443747597 and 427443747606.

It is not an unprimeable number, because it can be changed into a prime (427443747667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519010 + ... + 1060310.

It is an arithmetic number, because the mean of its divisors is an integer number (9309853098).

Almost surely, 2427443747660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427443747660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670309423056).

427443747660 is an abundant number, since it is smaller than the sum of its proper divisors (913175098452).

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

427443747660 is a wasteful number, since it uses less digits than its factorization.

427443747660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541464 (or 541459 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 54.

The spelling of 427443747660 in words is "four hundred twenty-seven billion, four hundred forty-three million, seven hundred forty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 107 123 164 180 205 214 246 321 369 410 428 492 535 615 642 738 820 963 1070 1230 1284 1476 1605 1845 1926 2140 2460 3210 3690 3852 4387 4815 6420 7380 8774 9630 13161 17548 19260 21935 26322 39483 43870 52644 65805 78966 87740 131610 157932 197415 263220 394830 541301 789660 1082602 1623903 2165204 2706505 3247806 4871709 5413010 6495612 8119515 9743418 10826020 16239030 19486836 22193341 24358545 32478060 44386682 48717090 57919207 66580023 88773364 97434180 110966705 115838414 133160046 173757621 199740069 221933410 231676828 266320092 289596035 332900115 347515242 399480138 443866820 521272863 579192070 665800230 695030484 798960276 868788105 998700345 1042545726 1158384140 1331600460 1737576210 1997400690 2085091452 2374687487 2606364315 3475152420 3994801380 4749374974 5212728630 7124062461 9498749948 10425457260 11873437435 14248124922 21372187383 23746874870 28496249844 35620312305 42744374766 47493749740 71240624610 85488749532 106860936915 142481249220 213721873830 427443747660