Search a number
-
+
20574372852 = 223211417317359
BaseRepresentation
bin10011001010010101…
…000000001111110100
31222002212022102200100
4103022111000033310
5314114014412402
613241324114100
71325565166215
oct231225001764
958085272610
1020574372852
1187a8773930
123ba2395930
131c2b69ca27
14dd26bb40c
158063c571c
hex4ca5403f4

20574372852 has 144 divisors (see below), whose sum is σ = 58918728960. Its totient is φ = 5998924800.

The previous prime is 20574372823. The next prime is 20574372883. The reversal of 20574372852 is 25827347502.

20574372852 is a `hidden beast` number, since 2 + 0 + 574 + 3 + 7 + 28 + 52 = 666.

It is a super-2 number, since 2×205743728522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20574372798 and 20574372807.

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, 1176549 + ... + 1193907.

It is an arithmetic number, because the mean of its divisors is an integer number (409157840).

Almost surely, 220574372852 is an apocalyptic number.

20574372852 is a gapful number since it is divisible by the number (22) 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 20574372852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29459364480).

20574372852 is an abundant number, since it is smaller than the sum of its proper divisors (38344356108).

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

20574372852 is a wasteful number, since it uses less digits than its factorization.

20574372852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17494 (or 17489 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 20574372852 in words is "twenty billion, five hundred seventy-four million, three hundred seventy-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 73 82 99 123 132 146 164 198 219 246 292 369 396 438 451 492 657 738 803 876 902 1314 1353 1476 1606 1804 2409 2628 2706 2993 3212 4059 4818 5412 5986 7227 8118 8979 9636 11972 14454 16236 17359 17958 26937 28908 32923 34718 35916 52077 53874 65846 69436 98769 104154 107748 131692 156231 190949 197538 208308 296307 312462 381898 395076 572847 592614 624924 711719 763796 1145694 1185228 1267207 1423438 1718541 2135157 2291388 2534414 2846876 3437082 3801621 4270314 5068828 6405471 6874164 7603242 7828909 8540628 11404863 12810942 13939277 15206484 15657818 22809726 23486727 25621884 27878554 31315636 41817831 45619452 46973454 51955487 55757108 70460181 83635662 93946908 103910974 125453493 140920362 155866461 167271324 207821948 250906986 281840724 311732922 467599383 501813972 571510357 623465844 935198766 1143020714 1714531071 1870397532 2286041428 3429062142 5143593213 6858124284 10287186426 20574372852