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52134005200 = 24522513531471
BaseRepresentation
bin110000100011011011…
…011100100111010000
311222120022022212102111
4300203123130213100
51323232301131300
635541112355104
73523633506154
oct604333344720
9158508285374
1052134005200
1120123317812
12a12b6a5a94
134bbac058b4
142747d0d064
151551dc79ba
hexc236dc9d0

52134005200 has 120 divisors (see below), whose sum is σ = 126192923136. Its totient is φ = 20697600000.

The previous prime is 52134005197. The next prime is 52134005201. The reversal of 52134005200 is 250043125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52134005201) 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 23 ways as a sum of consecutive naturals, for example, 35440465 + ... + 35441935.

Almost surely, 252134005200 is an apocalyptic number.

52134005200 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 52134005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63096461568).

52134005200 is an abundant number, since it is smaller than the sum of its proper divisors (74058917936).

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

52134005200 is a wasteful number, since it uses less digits than its factorization.

52134005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 52134005200 its reverse (250043125), we get a palindrome (52384048325).

The spelling of 52134005200 in words is "fifty-two billion, one hundred thirty-four million, five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 251 353 400 502 706 1004 1255 1412 1471 1765 2008 2510 2824 2942 3530 4016 5020 5648 5884 6275 7060 7355 8825 10040 11768 12550 14120 14710 17650 20080 23536 25100 28240 29420 35300 36775 50200 58840 70600 73550 88603 100400 117680 141200 147100 177206 294200 354412 369221 443015 519263 588400 708824 738442 886030 1038526 1417648 1476884 1772060 1846105 2077052 2215075 2596315 2953768 3544120 3692210 4154104 4430150 5192630 5907536 7088240 7384420 8308208 8860300 9230525 10385260 12981575 14768840 17720600 18461050 20770520 25963150 29537680 35441200 36922100 41541040 51926300 73844200 103852600 130335013 147688400 207705200 260670026 521340052 651675065 1042680104 1303350130 2085360208 2606700260 3258375325 5213400520 6516750650 10426801040 13033501300 26067002600 52134005200