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52013144000 = 265343151201
BaseRepresentation
bin110000011100001110…
…011001011111000000
311222020212220111000202
4300130032121133000
51323010331102000
635521114104332
73520635300146
oct603416313700
9158225814022
1052013144000
1120071077a24
12a0b711b0a8
134b9bb699ac
142735c4b596
1515464a1dd5
hexc1c3997c0

52013144000 has 112 divisors (see below), whose sum is σ = 131807017056. Its totient is φ = 20321280000.

The previous prime is 52013143979. The next prime is 52013144021. The reversal of 52013144000 is 44131025.

It is an interprime number because it is at equal distance from previous prime (52013143979) and next prime (52013144021).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268400 + ... + 419600.

Almost surely, 252013144000 is an apocalyptic number.

52013144000 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 52013144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65903508528).

52013144000 is an abundant number, since it is smaller than the sum of its proper divisors (79793873056).

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

52013144000 is a wasteful number, since it uses less digits than its factorization.

52013144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151271 (or 151251 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 52013144000 its reverse (44131025), we get a palindrome (52057275025).

The spelling of 52013144000 in words is "fifty-two billion, thirteen million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 125 160 172 200 215 250 320 344 400 430 500 688 800 860 1000 1075 1376 1600 1720 2000 2150 2752 3440 4000 4300 5375 6880 8000 8600 10750 13760 17200 21500 34400 43000 68800 86000 151201 172000 302402 344000 604804 756005 1209608 1512010 2419216 3024020 3780025 4838432 6048040 6501643 7560050 9676864 12096080 13003286 15120100 18900125 24192160 26006572 30240200 32508215 37800250 48384320 52013144 60480400 65016430 75600500 104026288 120960800 130032860 151201000 162541075 208052576 241921600 260065720 302402000 325082150 416105152 520131440 604804000 650164300 812705375 1040262880 1209608000 1300328600 1625410750 2080525760 2600657200 3250821500 5201314400 6501643000 10402628800 13003286000 26006572000 52013144000