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47201011060 = 22572193181773
BaseRepresentation
bin101011111101011001…
…100100010101110100
311111211112000210121211
4223331121210111310
51233131424323220
633403413251204
73260453655100
oct537531442564
9144745023554
1047201011060
1119021816255
129193633b04
1345b2c07a58
1423daad0900
151363ca9b5a
hexafd664574

47201011060 has 144 divisors (see below), whose sum is σ = 125290851840. Its totient is φ = 14836711680.

The previous prime is 47201011051. The next prime is 47201011061. The reversal of 47201011060 is 6011010274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47201011061) 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, 536334 + ... + 618106.

It is an arithmetic number, because the mean of its divisors is an integer number (870075360).

Almost surely, 247201011060 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 47201011060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62645425920).

47201011060 is an abundant number, since it is smaller than the sum of its proper divisors (78089840780).

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

47201011060 is a wasteful number, since it uses less digits than its factorization.

47201011060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81846 (or 81837 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The spelling of 47201011060 in words is "forty-seven billion, two hundred one million, eleven thousand, sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 49 62 70 76 95 98 124 133 140 155 190 196 217 245 266 310 380 434 490 532 589 620 665 868 931 980 1085 1178 1330 1519 1862 2170 2356 2660 2945 3038 3724 4123 4340 4655 5890 6076 7595 8246 9310 11780 15190 16492 18620 20615 28861 30380 41230 57722 81773 82460 115444 144305 163546 288610 327092 408865 572411 577220 817730 1144822 1553687 1635460 2289644 2534963 2862055 3107374 4006877 5069926 5724110 6214748 7768435 8013754 10139852 10875809 11448220 12674815 15536870 16027508 17744741 20034385 21751618 25349630 31073740 35489482 40068770 43503236 48164297 50699260 54379045 70978964 76130663 80137540 88723705 96328594 108758090 124213187 152261326 177447410 192657188 217516180 240821485 248426374 304522652 337150079 354894820 380653315 481642970 496852748 621065935 674300158 761306630 963285940 1242131870 1348600316 1522613260 1685750395 2360050553 2484263740 3371500790 4720101106 6743001580 9440202212 11800252765 23600505530 47201011060