Search a number
-
+
52071341000 = 2353710372221
BaseRepresentation
bin110000011111101100…
…011001101111001000
311222101221102012022012
4300133230121233020
51323120230403000
635530553315052
73522243044540
oct603754315710
9158357365265
1052071341000
11200a0a07218
12a112705a88
134baac350a3
14273d87a320
15154b64a735
hexc1fb19bc8

52071341000 has 128 divisors (see below), whose sum is σ = 140607567360. Its totient is φ = 17679456000.

The previous prime is 52071340991. The next prime is 52071341009. The reversal of 52071341000 is 14317025.

It is an interprime number because it is at equal distance from previous prime (52071340991) and next prime (52071341009).

It is a super-2 number, since 2×520713410002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52071341009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684890 + ... + 757110.

It is an arithmetic number, because the mean of its divisors is an integer number (1098496620).

Almost surely, 252071341000 is an apocalyptic number.

52071341000 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 52071341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70303783680).

52071341000 is an abundant number, since it is smaller than the sum of its proper divisors (88536226360).

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

52071341000 is a wasteful number, since it uses less digits than its factorization.

52071341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72352 (or 72338 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

Adding to 52071341000 its reverse (14317025), we get a palindrome (52085658025).

The spelling of 52071341000 in words is "fifty-two billion, seventy-one million, three hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 103 125 140 175 200 206 250 280 350 412 500 515 700 721 824 875 1000 1030 1400 1442 1750 2060 2575 2884 3500 3605 4120 5150 5768 7000 7210 10300 12875 14420 18025 20600 25750 28840 36050 51500 72100 72221 90125 103000 144200 144442 180250 288884 360500 361105 505547 577768 721000 722210 1011094 1444420 1805525 2022188 2527735 2888840 3611050 4044376 5055470 7222100 7438763 9027625 10110940 12638675 14444200 14877526 18055250 20221880 25277350 29755052 36110500 37193815 50554700 52071341 59510104 63193375 72221000 74387630 101109400 104142682 126386750 148775260 185969075 208285364 252773500 260356705 297550520 371938150 416570728 505547000 520713410 743876300 929845375 1041426820 1301783525 1487752600 1859690750 2082853640 2603567050 3719381500 5207134100 6508917625 7438763000 10414268200 13017835250 26035670500 52071341000