Search a number
-
+
47035220160 = 263588355487
BaseRepresentation
bin101011110011100001…
…001000000011000000
311111101222001202021010
4223303201020003000
51232312004021120
633335132000520
73253401526515
oct536341100300
9144358052233
1047035220160
1118a47179085
129148000140
13458776a526
1423c2a9530c
15135445b7e0
hexaf38480c0

47035220160 has 112 divisors (see below), whose sum is σ = 149508642816. Its totient is φ = 12528294912.

The previous prime is 47035220159. The next prime is 47035220161. The reversal of 47035220160 is 6102253074.

It is an interprime number because it is at equal distance from previous prime (47035220159) and next prime (47035220161).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (47035220161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819937 + ... + 875423.

Almost surely, 247035220160 is an apocalyptic number.

47035220160 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 47035220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74754321408).

47035220160 is an abundant number, since it is smaller than the sum of its proper divisors (102473422656).

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

47035220160 is a wasteful number, since it uses less digits than its factorization.

47035220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56390 (or 56380 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 47035220160 in words is "forty-seven billion, thirty-five million, two hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 883 960 1766 2649 3532 4415 5298 7064 8830 10596 13245 14128 17660 21192 26490 28256 35320 42384 52980 55487 56512 70640 84768 105960 110974 141280 166461 169536 211920 221948 277435 282560 332922 423840 443896 554870 665844 832305 847680 887792 1109740 1331688 1664610 1775584 2219480 2663376 3329220 3551168 4438960 5326752 6658440 8877920 10653504 13316880 17755840 26633760 48995021 53267520 97990042 146985063 195980084 244975105 293970126 391960168 489950210 587940252 734925315 783920336 979900420 1175880504 1469850630 1567840672 1959800840 2351761008 2939701260 3135681344 3919601680 4703522016 5879402520 7839203360 9407044032 11758805040 15678406720 23517610080 47035220160