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47542006148220 = 223257912972577733
BaseRepresentation
bin10101100111101001111000…
…11000110110110001111100
320020022222020011002010102200
422303310330120312301330
522212412012033220340
6245040255054351500
713004540142414003
oct1263647430666174
9206288204063380
1047542006148220
111416a4a7064791
1253b9b617bb590
13206b26591105c
14ba508c71bc3a
15576a23c10330
hex2b3d3c636c7c

47542006148220 has 144 divisors (see below), whose sum is σ = 146148856613760. Its totient is φ = 12507733075968.

The previous prime is 47542006148209. The next prime is 47542006148249. The reversal of 47542006148220 is 2284160024574.

47542006148220 is a `hidden beast` number, since 4 + 7 + 5 + 4 + 2 + 0 + 0 + 614 + 8 + 2 + 20 = 666.

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 47 ways as a sum of consecutive naturals, for example, 17154474 + ... + 19732206.

Almost surely, 247542006148220 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 47542006148220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73074428306880).

47542006148220 is an abundant number, since it is smaller than the sum of its proper divisors (98606850465540).

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

47542006148220 is a wasteful number, since it uses less digits than its factorization.

47542006148220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579124 (or 2579119 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 47542006148220 in words is "forty-seven trillion, five hundred forty-two billion, six million, one hundred forty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1297 1422 1580 2370 2594 2844 3555 3891 4740 5188 6485 7110 7782 11673 12970 14220 15564 19455 23346 25940 38910 46692 58365 77820 102463 116730 204926 233460 307389 409852 512315 614778 922167 1024630 1229556 1536945 1844334 2049260 2577733 3073890 3688668 4610835 5155466 6147780 7733199 9221670 10310932 12888665 15466398 18443340 23199597 25777330 30932796 38665995 46399194 51554660 77331990 92798388 115997985 154663980 203640907 231995970 407281814 463991940 610922721 814563628 1018204535 1221845442 1832768163 2036409070 2443690884 3054613605 3343319701 3665536326 4072818140 6109227210 6686639402 7331072652 9163840815 10029959103 12218454420 13373278804 16716598505 18327681630 20059918206 30089877309 33433197010 36655363260 40119836412 50149795515 60179754618 66866394020 100299591030 120359509236 150449386545 200599182060 264122256379 300898773090 528244512758 601797546180 792366769137 1056489025516 1320611281895 1584733538274 2377100307411 2641222563790 3169467076548 3961833845685 4754200614822 5282445127580 7923667691370 9508401229644 11885501537055 15847335382740 23771003074110 47542006148220