Search a number
-
+
20557537080 = 23352314875009
BaseRepresentation
bin10011001001010100…
…110001111100111000
31222001200122002100020
4103021110301330320
5314100212141310
613235523210440
71325302116303
oct231124617470
958050562306
1020557537080
11879a214973
123b98816a20
131c28056932
14dd0377b3a
15804b9c170
hex4c9531f38

20557537080 has 128 divisors (see below), whose sum is σ = 64410163200. Its totient is φ = 5239089152.

The previous prime is 20557537073. The next prime is 20557537087. The reversal of 20557537080 is 8073575502.

It is an interprime number because it is at equal distance from previous prime (20557537073) and next prime (20557537087).

It is a super-2 number, since 2×205575370802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20557537087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4101616 + ... + 4106624.

It is an arithmetic number, because the mean of its divisors is an integer number (503204400).

Almost surely, 220557537080 is an apocalyptic number.

20557537080 is a gapful number since it is divisible by the number (20) 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 20557537080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32205081600).

20557537080 is an abundant number, since it is smaller than the sum of its proper divisors (43852626120).

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

20557537080 is a wasteful number, since it uses less digits than its factorization.

20557537080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533 (or 6529 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 20557537080 in words is "twenty billion, five hundred fifty-seven million, five hundred thirty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 1487 2760 2974 4461 5009 5948 7435 8922 10018 11896 14870 15027 17844 20036 22305 25045 29740 30054 34201 35688 40072 44610 50090 59480 60108 68402 75135 89220 100180 102603 115207 120216 136804 150270 171005 178440 200360 205206 230414 273608 300540 342010 345621 410412 460828 513015 576035 601080 684020 691242 820824 921656 1026030 1152070 1368040 1382484 1728105 2052060 2304140 2764968 3456210 4104120 4608280 6912420 7448383 13824840 14896766 22345149 29793532 37241915 44690298 59587064 74483830 89380596 111725745 148967660 171312809 178761192 223451490 297935320 342625618 446902980 513938427 685251236 856564045 893805960 1027876854 1370502472 1713128090 2055753708 2569692135 3426256180 4111507416 5139384270 6852512360 10278768540 20557537080