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52431513300 = 22335267289837
BaseRepresentation
bin110000110101001010…
…010110011011010100
312000100001010211211000
4300311022112123110
51324334431411200
640030421143300
73534205336545
oct606512263324
9160301124730
1052431513300
1120266249a81
12a1b325ab30
134c377403aa
1427756344cc
15156d093300
hexc352966d4

52431513300 has 144 divisors (see below), whose sum is σ = 171073981120. Its totient is φ = 13773006720.

The previous prime is 52431513287. The next prime is 52431513307. The reversal of 52431513300 is 331513425.

52431513300 is a `hidden beast` number, since 524 + 3 + 1 + 5 + 133 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52431513307) 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 47 ways as a sum of consecutive naturals, for example, 35982 + ... + 325818.

Almost surely, 252431513300 is an apocalyptic number.

52431513300 is a gapful number since it is divisible by the number (50) 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 52431513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85536990560).

52431513300 is an abundant number, since it is smaller than the sum of its proper divisors (118642467820).

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

52431513300 is a wasteful number, since it uses less digits than its factorization.

52431513300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289927 (or 289914 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 52431513300 in words is "fifty-two billion, four hundred thirty-one million, five hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 67 75 90 100 108 134 135 150 180 201 225 268 270 300 335 402 450 540 603 670 675 804 900 1005 1206 1340 1350 1675 1809 2010 2412 2700 3015 3350 3618 4020 5025 6030 6700 7236 9045 10050 12060 15075 18090 20100 30150 36180 45225 60300 90450 180900 289837 579674 869511 1159348 1449185 1739022 2608533 2898370 3478044 4347555 5217066 5796740 7245925 7825599 8695110 10434132 13042665 14491850 15651198 17390220 19419079 21737775 26085330 28983700 31302396 38838158 39127995 43475550 52170660 58257237 65213325 77676316 78255990 86951100 97095395 116514474 130426650 156511980 174771711 194190790 195639975 233028948 260853300 291286185 349543422 388381580 391279950 485476975 524315133 582572370 699086844 782559900 873858555 970953950 1048630266 1165144740 1456430925 1747717110 1941907900 2097260532 2621575665 2912861850 3495434220 4369292775 5243151330 5825723700 8738585550 10486302660 13107878325 17477171100 26215756650 52431513300