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47091838640 = 24571173104723
BaseRepresentation
bin101011110110111001…
…000110111010110000
311111112220121021012212
4223312321012322300
51232421002314030
633344513311252
73254660011130
oct536671067260
9144486537185
1047091838640
1118a7612a410
129162b65528
1345964022a2
1423ca3d2ac0
1513593e2595
hexaf6e46eb0

47091838640 has 160 divisors (see below), whose sum is σ = 138376429056. Its totient is φ = 14476769280.

The previous prime is 47091838597. The next prime is 47091838649. The reversal of 47091838640 is 4683819074.

It is not an unprimeable number, because it can be changed into a prime (47091838649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397319 + ... + 502041.

Almost surely, 247091838640 is an apocalyptic number.

47091838640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47091838640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69188214528).

47091838640 is an abundant number, since it is smaller than the sum of its proper divisors (91284590416).

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

47091838640 is a wasteful number, since it uses less digits than its factorization.

47091838640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104827 (or 104821 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 47091838640 in words is "forty-seven billion, ninety-one million, eight hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 73 77 80 88 110 112 140 146 154 176 220 280 292 308 365 385 440 511 560 584 616 730 770 803 880 1022 1168 1232 1460 1540 1606 2044 2555 2920 3080 3212 4015 4088 5110 5621 5840 6160 6424 8030 8176 10220 11242 12848 16060 20440 22484 28105 32120 40880 44968 56210 64240 89936 104723 112420 209446 224840 418892 449680 523615 733061 837784 1047230 1151953 1466122 1675568 2094460 2303906 2932244 3665305 4188920 4607812 5759765 5864488 7330610 7644779 8063671 8377840 9215624 11519530 11728976 14661220 15289558 16127342 18431248 23039060 29322440 30579116 32254684 38223895 40318355 46078120 53513453 58644880 61158232 64509368 76447790 80636710 84092569 92156240 107026906 122316464 129018736 152895580 161273420 168185138 214053812 267567265 305791160 322546840 336370276 420462845 428107624 535134530 588647983 611582320 645093680 672740552 840925690 856215248 1070269060 1177295966 1345481104 1681851380 2140538120 2354591932 2943239915 3363702760 4281076240 4709183864 5886479830 6727405520 9418367728 11772959660 23545919320 47091838640